In this case, 250° lies in the third quadrant.Ĭhoose the proper formula for calculating the reference angle: In this example, after subtracting 360°, we get 250°.ĭetermine in which quadrant does your angle lie: Keep doing it until you get an angle smaller than a full angle. If your angle is larger than 360° (a full angle), subtract 360°. Make sure to take a look at our law of cosines calculator and our law of sines calculator for more information about trigonometry.Īll you have to do is follow these steps:Ĭhoose your initial angle - for example, 610°. If you don't like this rule, here are a few other mnemonics for you to remember: C for cosine: in the fourth quadrant, only the cosine function has positive values.T for tangent: in the third quadrant, tangent and cotangent have positive values.S for sine: in the second quadrant, only the sine function has positive values.A for all: in the first quadrant, all trigonometric functions have positive values.Follow the "All Students Take Calculus" mnemonic rule (ASTC) to remember when these functions are positive. The only thing that changes is the sign - these functions are positive and negative in various quadrants. Generally, trigonometric functions (sine, cosine, tangent, cotangent) give the same value for both an angle and its reference angle. Numbering starts from the upper right quadrant, where both coordinates are positive, and goes in an anti-clockwise direction, as in the picture. The two axes of a 2D Cartesian system divide the plane into four infinite regions called quadrants.
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