Download free on Google Play. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. This is useful for common angles like 45° and 60° that we will encounter over and over again. The table below shows the reference angle, α , in quadrant I which corresponds to the angle, θ , in quadrants II, III, and IV.

Our reference angle calculator is a handy tool for recalculating angles into their acute version. We draw a ray from the origin, which is the center of the plane, to that point. To use the reference angle calculator, simply enter any angle into the angle box to find its reference angle, which is the acute angle that corresponds to the angle entered. We are more than happy to answer any math specific question you may have about this problem.

Since the angle is in the second quadrant, subtract from . We are here to assist you with your math questions. This website uses cookies to ensure you get the best experience on our website.

What are you trying to do with this input? So, if our given angle is 332°, then its reference angle is 360° – 332° = 28°. ... Precalculus. (angles from 90° to 180°), our reference angle is 180° minus our given angle. If we draw it from the origin to the right side, we’ll have drawn an angle that measures 144°. For instance, if our angle is 544°, we would subtract 360° from it to get 184° (544° – 360° = 184°). To use the reference angle calculator, simply enter any angle into the angle box to find its reference angle, which is the acute angle that corresponds to the angle entered. (angles from 0° to 90°), our reference angle is the same as our given angle. b) 249˚
... Precalculus. I spoke with my team and we will make note of this for future training.

Copyright © 2005, 2020 - OnlineMathLearning.com. Let’s say we want to draw an angle that’s 144° on our plane. Find an angle that is positive, less than , and coterminal with . simply enter any angle into the angle box to find its reference angle, which is the acute angle that corresponds to the angle entered.
We start on the right side of the x-axis, where three o’clock is on a clock. When an angle is negative, we move the other direction to find our terminal side. The sign may not be the same, but the value always will be. This is easy to do. So, if our given angle is 33°, then its reference angle is also 33°. Visit Mathway on the web. Notice how the second ray is always on the x-axis. You can contact support with any questions regarding your current subscription. Embedded content, if any, are copyrights of their respective owners. Show Step-by-step Solutions Try the free Mathway calculator and problem solver below to practice various math topics. You will need to get assistance from your school if you are having problems entering the answers into your online assignment.

This second angle is the reference angle. You may speak with a member of our customer support team by calling 1-800-876-1799. When the terminal side is in the fourth quadrant (angles from 270° to 360°), our reference angle is 360° minus our given angle.

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