91Ó°ÊÓ

In Exercises \(1-6\), use the Even \(/\) Odd Identities to verify the identity. Assume all quantities are defined. $$ \sin (3 \pi-2 \theta)=-\sin (2 \theta-3 \pi) $$

Convert the angles into the DMS system. Round each of your answers to the nearest second. $$ 200.325^{\circ} $$

Convert the angles into the DMS system. Round each of your answers to the nearest second. $$ 179.999^{\circ} $$

Graph one cycle of the given function. State the period, amplitude, phase shift and vertical shift of the function. $$ y=-\sin \left(x+\frac{\pi}{3}\right) $$

Find the exact value or state that it is undefined. $$ \tan (117 \pi) $$

Graph the oriented angle in standard position. Classify each angle according to where its terminal side lies and then give two coterminal angles, one of which is positive and the other negative. $$ 405^{\circ} $$

Graph the oriented angle in standard position. Classify each angle according to where its terminal side lies and then give two coterminal angles, one of which is positive and the other negative. $$ -270^{\circ} $$

In Exercises \(1-40\), find the exact value. $$ \arccos \left(-\frac{1}{2}\right) $$

Solve the equation, giving the exact solutions which lie in \([0,2 \pi)\). $$ \sin (x)=\cos (x) $$

Graph one cycle of the given function. State the period of the function. $$ y=\cot \left(x+\frac{\pi}{6}\right) $$