👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To ...260 260. Since the angle 180° 180 ° is in the third quadrant, subtract 180° 180 ° from 260° 260 °. 260°− 180° 260 ° - 180 °. Subtract 180 180 from 260 260. 80° 80 °. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Another thing we can do with angle measures, even those whose measures are in the first go-around, is to find what is called the "reference" angle. The reference angle is the angle that the given angle makes with the x-axis. Regardless of where the angle ends (that is, regardless of the location of the terminal side of the angle), the reference ... A square has four corners, which are also referred to as vertices. At each of the four corners of a square, two perpendicular lines meet to form a right angle. A square contains a ...Trigonometry. Find the Reference Angle -520 degrees. −520° - 520 °. Find an angle that is positive, less than 360° 360 °, and coterminal with −520° - 520 °. Tap for more steps... 200° 200 °. Since the angle 180° 180 ° is in the third quadrant, subtract 180° 180 ° from 200° 200 °. 200°− 180° 200 ° - 180 °. Subtract 180 ... Find the reference angle for A and B. A. 35° Let R = reference angle In quadrant 1, R = given angle. So, the reference angle of 35° is 35°.Answer The terminal side of θ = 225 ˚ intersects the unit circle at ( − 2 2, − 2 2). Tip: When a standard angle is greater than 90 ˚, use markers 180 ˚ or 360 ˚ to …Find Reference Angle in Radians and Degrees (Formulas) Mario's Math Tutoring. 91. 08:25. How to Find the Reference Angle of ANY ANGLE | Reference Angles Made Easy. Crazy Calculations. 109. 06:29. Evaluating Trigonometric Functions Using the Reference Angle, Example 2.In the Trigonometric Functions section, you will learn how to evaluate trigonometric functions at various angle measures and also graph trigonometric functions. Understanding how to find a reference angle of a given angle is an important skill needed to evaluate trigonometric functions and is reviewed here. Even-odd properties are also …Trigonometry. Find the Reference Angle -520 degrees. −520° - 520 °. Find an angle that is positive, less than 360° 360 °, and coterminal with −520° - 520 °. Tap for more steps... 200° 200 °. Since the angle 180° 180 ° is in the third quadrant, subtract 180° 180 ° from 200° 200 °. 200°− 180° 200 ° - 180 °. Subtract 180 ...The reference angle is the angle that the given angle makes with the x-axis. When the terminal side of the given angle is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. So, the reference angle of 26.5° = 26.5°. Important: the angle unit is set to degrees.Trigonometry. Find the Reference Angle 405 degrees. 405° 405 °. Find an angle that is positive, less than 360° 360 °, and coterminal with 405° 405 °. Tap for more steps... 45° 45 °. Since 45° 45 ° is in the first quadrant, the reference angle is 45° 45 °. 45° 45 °. Free math problem solver answers your algebra, geometry ...Trigonometry. Find the Reference Angle -520 degrees. −520° - 520 °. Find an angle that is positive, less than 360° 360 °, and coterminal with −520° - 520 °. Tap for more steps... 200° 200 °. Since the angle 180° 180 ° is in the third quadrant, subtract 180° 180 ° from 200° 200 °. 200°− 180° 200 ° - 180 °. Subtract 180 ...Jun 7, 2021 ... Reference angles are always acute angles and are always measured from the horizontal (x-) axis. You have found that 240∘ has reference angle 60 ...A heptagon is defined as polygon with seven angles and seven sides. The heptagon is sometimes referred to as the septagon, using the Latin numerical prefix “sept” rather than the G...A reference angle is the distance from the terminal side of theta to the horizontal axis.The reference angle is always positive and between 0 and 90 degreesTrigonometry. Find the Reference Angle pi/4. π 4 π 4. Since π 4 π 4 is in the first quadrant, the reference angle is π 4 π 4. π 4 π 4. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Apr 24, 2013 ... sin(ϑ) = sin(ϑr) and cos(ϑ) = cos(ϑr). ... However, I don't think that this code is optimal. For instance, if the user calls it with a very large ...Apr 14, 2022 · How to Calculate the Reference Angle. You can simply find the reference angle of any angle using the formula above. We’ve solved a few examples to help you grasp the concept of determining the reference angle. Example . 1. Find the reference angle for 108°. Solution : From the given problem, we can determine that 108° lies in the second ... Trigonometry. Find the Reference Angle 225 degrees. 225° 225 °. Since the angle 180° 180 ° is in the third quadrant, subtract 180° 180 ° from 225° 225 °. 225°− 180° 225 ° - 180 °. Subtract 180 180 from 225 225. 45° 45 °. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework ...If you’re an avid angler, purchasing a fishing boat is likely on your radar. While new boats may have their appeal, there are significant benefits to consider when it comes to purc...Trigonometry. Find the Reference Angle (7pi)/10. 7π 10 7 π 10. Since the angle 7π 10 7 π 10 is in the second quadrant, subtract 7π 10 7 π 10 from π π. π− 7π 10 π - 7 π 10. Simplify the result. Tap for more steps... 3π 10 3 π 10. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics ...The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To ... 👉 Learn how to find the reference angle of a given angle.To find the reference angle of an angle measured in degrees, you can follow these steps: 1. Subtract or add a multiple of 360 degrees to bring the angle within the range of 0 to 360 degrees. In this case, we have 1406 degrees, so we can subtract 360 degrees until we get an angle within the range. 1406 - 360 = 1046 degrees.A reference angle is a positive, acute angle determined by the x-axis and the terminal side of a given angle. In other words, it’s always found inside our Reference …Here's what the IRS Where's My Refund reference codes mean when checking WMR online, or calling the IRS, or using the Refund Status tool. The College Investor Student Loans, Invest...Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because tangent is negative in the second quadrant. −tan(30) - tan ( 30) The exact value of tan(30) tan ( 30) is √3 3 3 3. − √3 3 - 3 3. The result can be shown in multiple forms. Exact Form:Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-stepThe angle 54° lies in the first quadrant. The reference angle is the angle that the given angle makes with the x-axis. When the terminal side of the given angle is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. So, the reference angle of 54° = 54°. Important: the angle unit is set to degrees.Reference Angle for an Angle, Ex 1 (Using Degrees) patrickJMT. 349. Determine the Reference Angle for a Given Angle. Mathispower4u. 334. Reference Angle for an Angle, Ex 2 (Using Radians) patrickJMT. 206.To find the reference angle of an angle measured in degrees, you can follow these steps: 1. Subtract or add a multiple of 360 degrees to bring the angle within the range of 0 to 360 degrees. In this case, we have 1406 degrees, so we can subtract 360 degrees until we get an angle within the range. 1406 - 360 = 1046 degrees.What Is a Reference Angle? A reference angle is a positive acute angle or right angle. Each angle has a reference, which can be found by locating an acute angle formed by the terminal angle of the given angle and the x-axis. This means that an acute angle or a right angle is its own reference angle. Reference angles make it easier to calculate ... When the terminal side of the given angle is in the second quadrant (angles from 90° to 180°), our reference angle is calculated by subtracting the given angle from 180 degrees. So, you can use the formula below: Reference angle° = 180 - angle. Thus, the reference angle of 134° = 180 - 134 = 46°. Important: the angle unit is set to degrees.Sep 15, 2021 · A reference angle, denoted θ^ θ ^, is the positive acute angle between the terminal side of θ θ and the x x -axis. The word reference is used because all angles can refer to QI. That is, memorization of ordered pairs is confined to QI of the unit circle. If a standard angle θ θ has a reference angle of 30˚ 30 ˚, 45˚ 45 ˚, or 60˚ 60 ... In pre-calculus, you use trig functions to solve algebraic equations. When you find the value of the angle in an equation, which is the angle that is a solution to the equation, you use that as the reference angle to find other angles on the unit circle that will also be solutions to the equation. Usually you can find two, but you may find none, one, …Learn how to find the reference angle of any angle measure, which is the angle that the given angle makes with the x-axis. See examples, graphs, and explanations with …The angle 47° lies in the first quadrant. The reference angle is the angle that the given angle makes with the x-axis. When the terminal side of the given angle is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. So, the reference angle of 47° = 47°. Important: the angle unit is set to degrees.There are rules to finding reference angles that depend upon where the terminal side of the angle lies in the coordinate plane. If the terminal side of the angle is in the second quadrant, we take ...A reference angle is a positive, acute angle determined by the x-axis and the terminal side of a given angle. In other words, it’s always found inside our Reference …Solution to example 1: Angle A is in quadrant II and the reference angle is given by. A r = 180° - 120° = 60°. Example 2: Find the reference to angle A = - 15 π / 4. Solution to example 2: The given angle is not positive and less than 2π. We can use the positive and less than 2π coterminal A c to angle A. Terminal Side of an Angle: The ray that can lie in any of the four quadrants and defines the measurement of the angle. Reference Angle: An angle between the terminal side of the given angle, {eq ... When the terminal side of the given angle is in the second quadrant (angles from 90° to 180°), our reference angle is calculated by subtracting the given angle from 180 degrees. So, you can use the formula below: Reference angle° = 180 - angle. Thus, the reference angle of 134° = 180 - 134 = 46°. Important: the angle unit is set to degrees.To find the value of a trigonometric function of any angle t: Determine the function value for the associated reference angle t'. Depending on the quadrant in which t lies, the answer will be either be + or -. How to evaluate trig functions using reference angles? Find the reference angle for the given angle.Jul 31, 2019 · At times, you may be asked to find the reference angle for thetas that are more than 360°. Let’s find the reference angle when the theta is 960°. A 960° angle is the equivalent to a 240° angle. You can find this out by subtracting 360° from 960° two times. Below are the formulas to find reference angles in degrees: First Quadrant: 0 o – 90 o. R e f e r e n c e A n g l e = A n g l e. Second Quadrant: 90 o – 180 o. R e f e r e n c e A n g l e = 180 o – A n g l e. Third Quadrant: 180 o – 270 o. R e f e r e n c e A n g l e = A n g l e – 180 o. Fourth Quadrant: 270 o – 360 o.‼️SECOND QUARTER‼️‼️SECOND QUARTER‼️🟣 GRADE 11: REFERENCE ANGLES‼️SHS MATHEMATICS PLAYLISTS‼️General MathematicsFirst Quarter: https: ...A 360 degree angle is called a full circle. Angles can be measured from zero degrees all the way to 360 degrees because 360 degrees is one full rotation. An angle that measures 180...To find the reference angle for 1,406 degrees, we need to subtract the nearest multiple of 360 degrees without going over 1,406. In this case, 1,406 - 1,440 = -34 degrees is the equivalent angle in the first rotation. Since reference angles are always positive and measure the smallest angle between the terminal side and the x-axis, we …👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To ...Trigonometry. Find the Reference Angle (6pi)/7. 6π 7 6 π 7. Since the angle 6π 7 6 π 7 is in the second quadrant, subtract 6π 7 6 π 7 from π π. π− 6π 7 π - 6 π 7. Simplify the result. Tap for more steps... π 7 π 7. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions ...Trigonometry. Find the Reference Angle (13pi)/5. 13π 5 13 π 5. Find an angle that is positive, less than 2π 2 π, and coterminal with 13π 5 13 π 5. Tap for more steps... 3π 5 3 π 5. Since the angle 3π 5 3 π 5 is in the second quadrant, subtract 3π 5 3 π 5 from π π. π− 3π 5 π - 3 π 5. Simplify the result.Find the Reference Angle (5pi)/6. 5π 6 5 π 6. Since the angle 5π 6 5 π 6 is in the second quadrant, subtract 5π 6 5 π 6 from π π. π− 5π 6 π - 5 π 6. Simplify the result. Tap for more steps... π 6 π 6. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by ...1. Find the reference angle for each of the following angles. a) A = 120o b) A = −15𝜋/4 c) A = −30o Solutions a) Since angle A is in quadrant II, the reference angle, A r = 180 o - 120o = 60o. b) The given angle is not positive and less than 2𝜋. We can use the positive and less than 2𝜋 coterminal A c to angle A. AMar 12, 2021 ... Calculate sum, sum of square, mean, standard deviation and variance using scientific calculator. Agricultural Statistics•59K views · 3:59:44. Go ...Sep 15, 2021 · A reference angle, denoted θ^ θ ^, is the positive acute angle between the terminal side of θ θ and the x x -axis. The word reference is used because all angles can refer to QI. That is, memorization of ordered pairs is confined to QI of the unit circle. If a standard angle θ θ has a reference angle of 30˚ 30 ˚, 45˚ 45 ˚, or 60˚ 60 ... Below are the formulas to find reference angles in degrees: First Quadrant: 0 o – 90 o. R e f e r e n c e A n g l e = A n g l e. Second Quadrant: 90 o – 180 o. R e f e r e n c e A n g l e = 180 o – A n g l e. Third Quadrant: 180 o – 270 o. R e f e r e n c e A n g l e = A n g l e – 180 o. Fourth Quadrant: 270 o – 360 o. Trigonometry. Find the Reference Angle (6pi)/7. 6π 7 6 π 7. Since the angle 6π 7 6 π 7 is in the second quadrant, subtract 6π 7 6 π 7 from π π. π− 6π 7 π - 6 π 7. Simplify the result. Tap for more steps... π 7 π 7. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions ...Jan 21, 2020 · Now, the sign of the function value is positive or negative depending on the quadrant of the terminal side, but the numerical value of the trig function is the same! A reference angle is a positive, acute angle determined by the x-axis and the terminal side of a given angle. In other words, it’s always found inside our Reference Triangle ... Trigonometry. Find the Reference Angle 410 degrees. 410° 410 °. Find an angle that is positive, less than 360° 360 °, and coterminal with 410° 410 °. Tap for more steps... 50° 50 °. Since 50° 50 ° is in the first quadrant, the reference angle is 50° 50 °. 50° 50 °. Free math problem solver answers your algebra, geometry ...Sep 8, 2020 ... ... , we will draw an angle, find the reference angle, and discuss how to find the sine and cosine of the angle using its corresponding referenceTrigonometry. Find the Reference Angle (49pi)/2. 49π 2 49 π 2. Find an angle that is positive, less than 2π 2 π, and coterminal with 49π 2 49 π 2. Tap for more steps... π 2 π 2. Since π 2 π 2 is in the first quadrant, the reference angle is π 2 π 2. π 2 π 2. Free math problem solver answers your algebra, geometry, trigonometry ... How can you get out of giving a professional reference if you don't want to? HowStuffWorks has some tips. Advertisement Years ago, I received an email from a former employer asking...The steps to calculate the reference angle are here: Firstly, find the coterminal angle for the given angle that lies between 0° to 360°. Check whether the obtained angle is close to 180° or 360° and by how much. Now, obtained is the reference angle of the given angle. 2.This time, we are going to find the reference angle of a negative angle: -23 degree. Same as the last example, we draw the standard angle of -23 degree on a xy plane. Also, starting from the x axis (zero), however, this time we turn the terminal arm to the negative direction. At the end, we know that the standard angle = -23 degree.Aug 21, 2020 ... Link to sign up for College Ready Math Program: ...Jul 31, 2019 · At times, you may be asked to find the reference angle for thetas that are more than 360°. Let’s find the reference angle when the theta is 960°. A 960° angle is the equivalent to a 240° angle. You can find this out by subtracting 360° from 960° two times. Apr 9, 2020 ... DELTA MATH: Algebra 2 Finding Reference Angles. 392 views · 3 years ago ...more. Sophia Demjanjuk. 83. Subscribe.Nov 1, 2012 ... Learn about angles in trigonometry. An angle is the figure formed by two rays sharing the same endpoint. The two rays are called the sides ...Oct 14, 2017 · This trigonometry video tutorial explains how to use reference angles to evaluate trigonometric functions such as sine, cosine, tangent, secant, cosecant, an... This time, we are going to find the reference angle of a negative angle: -23 degree. Same as the last example, we draw the standard angle of -23 degree on a xy plane. Also, starting from the x axis (zero), however, this time we turn the terminal arm to the negative direction. At the end, we know that the standard angle = -23 degree.A reference angle is the acute angle formed between the terminal side of an angle in standard position and the x-axis. It serves as a reference point to determine the exact values of trigonometric functions, such as sine, cosine, and tangent . Reference angles are used to simplify complex calculations and reduce problems to a manageable form. Objectives. Students will be able to. identify the principal angle for a given angle, use principal angles to find the value of trigonometric functions where the angles are outside of the range between 0 ∘ and 3 6 0 ∘ or 0 radians and 2 𝜋 radians.1. Find the ordered pair for 240 ∘ and use it to find the value of sin 240 ∘. sin 240 ∘ = − 3 2. As we found in part b under the question above, the reference angle for 240 ∘ is 60 ∘. The figure below shows 60 ∘ and the three other angles in the unit circle that have 60 ∘ as a reference angle. Figure 2.3.7. 6.Popular Problems. Trigonometry. Find the Reference Angle 60 degrees. 60° 60 °. Since 60° 60 ° is in the first quadrant, the reference angle is 60° 60 °. 60° 60 °. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Jun 7, 2021 ... Reference angles are always acute angles and are always measured from the horizontal (x-) axis. You have found that 240∘ has reference angle 60 ...👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To ...Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-stepWhen the terminal side of the given angle is in the second quadrant (angles from 90° to 180°), our reference angle is calculated by subtracting the given angle from 180 degrees. So, you can use the formula below: Reference angle° = 180 - angle. Thus, the reference angle of 170° = 180 - 170 = 10°. Important: the angle unit is set to degrees.Learn how to find the reference angle of any angle in any quadrant and use it to evaluate trigonometric functions. See examples, exercises, and a video explanation of reference …👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To ...Step-by-Step Examples. Trigonometry. Radian Measure and Circular Functions. Find the Reference Angle. 330° 330 °. Since the angle 330° 330 ° is in the fourth quadrant, subtract 330° 330 ° from 360° 360 °. 360°− 330° 360 ° - 330 °. Subtract 330 330 from 360 360. 30° 30 °. The reference angle is the angle that the given angle makes with the x-axis. When the terminal side of the given angle is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. So, the reference angle of 2.5° = 2.5°. Important: the angle unit is set to degrees.To find the reference angle of an angle measured in degrees, you can follow these steps: 1. Subtract or add a multiple of 360 degrees to bring the angle within the range of 0 to 360 degrees. In this case, we have 1406 degrees, so we can subtract 360 degrees until we get an angle within the range. 1406 - 360 = 1046 degrees.Trigonometry. Find the Reference Angle (7pi)/10. 7π 10 7 π 10. Since the angle 7π 10 7 π 10 is in the second quadrant, subtract 7π 10 7 π 10 from π π. π− 7π 10 π - 7 π 10. Simplify the result. Tap for more steps... 3π 10 3 π 10. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics ...Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle being sandwiched by the terminal side and the x-axis. It must be less than 90 degree, and always positive. A good thing to note before we move on is that when you're on ...At times, you may be asked to find the reference angle for thetas that are more than 360°. Let’s find the reference angle when the theta is 960°. A 960° angle is the equivalent to a 240° angle. You can find this out by subtracting 360° from 960° two times.
The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To ... 👉 Learn how to find the reference angle of a given angle. The reference angle is the acute .... Volume for cone formula
Trigonometry. Find the Reference Angle 60 degrees. 60° 60 °. Since 60° 60 ° is in the first quadrant, the reference angle is 60° 60 °. 60° 60 °. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Find the reference angle for A and B. A. 35° Let R = reference angle In quadrant 1, R = given angle. So, the reference angle of 35° is 35°.Nov 5, 2019 · I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in ma... Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Reference Angle for an Ang...Apr 14, 2022 · How to Calculate the Reference Angle. You can simply find the reference angle of any angle using the formula above. We’ve solved a few examples to help you grasp the concept of determining the reference angle. Example . 1. Find the reference angle for 108°. Solution : From the given problem, we can determine that 108° lies in the second ... Mar 26, 2016 · You determine a reference angle by looking at the terminal side of the angle you’re working with and its relation with the positive or negative x- axis (depending on which quadrant the terminal side is in). The following will tell you how to measure the reference angle when you’re given the terminal side of the angle: Quadrant I (QI): The ... Trigonometry. Find the Reference Angle (6pi)/7. 6π 7 6 π 7. Since the angle 6π 7 6 π 7 is in the second quadrant, subtract 6π 7 6 π 7 from π π. π− 6π 7 π - 6 π 7. Simplify the result. Tap for more steps... π 7 π 7. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions ...Find the Reference Angle tan (210) tan (210) tan ( 210) Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. tan(30) tan ( 30) The exact value of tan(30) tan ( 30) is √3 3 3 3. √3 3 3 3. The result can be shown in multiple forms. Exact Form: √3 3 3 3.Oct 14, 2017 · This trigonometry video tutorial explains how to use reference angles to evaluate trigonometric functions such as sine, cosine, tangent, secant, cosecant, an... Properties of the Reference Angle. Make sure you understand that there are two angles involved in this discussion: . the o r i g i n a l angle (which might be really big); the o r i g i n a l angle's reference angle (which is always a manageable size) ; The o r i g i n a l angle has an orientation: counterclockwise if positive, and clockwise if negative.Find the Reference Angle (5pi)/6. 5π 6 5 π 6. Since the angle 5π 6 5 π 6 is in the second quadrant, subtract 5π 6 5 π 6 from π π. π− 5π 6 π - 5 π 6. Simplify the result. Tap for more steps... π 6 π 6. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by ...An angle’s reference angle is the size angle, [Math Processing Error] t, formed by the terminal side of the angle [Math Processing Error] t and the horizontal axis. Reference angles can be used to find the sine and cosine of the original angle. Reference angles can also be used to find the coordinates of a point on a circle. Objectives. Students will be able to. identify the principal angle for a given angle, use principal angles to find the value of trigonometric functions where the angles are outside of the range between 0 ∘ and 3 6 0 ∘ or 0 radians and 2 𝜋 radians.260 260. Since the angle 180° 180 ° is in the third quadrant, subtract 180° 180 ° from 260° 260 °. 260°− 180° 260 ° - 180 °. Subtract 180 180 from 260 260. 80° 80 °. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.The angle 56° lies in the first quadrant. The reference angle is the angle that the given angle makes with the x-axis. When the terminal side of the given angle is in the first quadrant (angles from 0° to 90°), our reference angle is the same as our given angle. So, the reference angle of 56° = 56°. Important: the angle unit is set to degrees.👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To ...An angle’s reference angle is the size of the smallest acute angle, [latex]{t}^{\prime }[/latex], formed by the terminal side of the angle [latex]t[/latex] and the horizontal axis. How To: Given an angle greater than 360°, find a coterminal angle between 0° and 360°..