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The Humongous Book of Trigonometry Problems by W. Michael Kelley

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Angles Beyond the Unit Circle

Calculating trig values you didn’t memorize

Note: Problems 4.30–4.32 refer to an angle θ in standard position whose terminal side lies in the third quadrant, such that .

4.30    Construct a right triangle in the third quadrant using θ’s reference angle α. Include the signed lengths of the legs in your diagram.

A third-quadrant reference angle is formed by the terminal side of an angle and the negative x-axis. Do not worry about precisely calculating the size of θ or its reference angle α in your diagram. It is more important to label the triangle correctly than to precisely predict the size of the angles.

Just make ...

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