91Ó°ÊÓ

Solve each equation for solutions over the interval \(\left[0^{\circ}, 360^{\circ}\right) .\) Give solutions to the near. est tenth as appropriate. $$\sec ^{2} \theta \tan \theta=2 \tan \theta$$

Each expression simplifies to a constant, a single function, or a power of a function. Use fundamental identities to simplify each expression. $$1-\frac{1}{\csc ^{2} x}$$

Write each expression as a sum or difference of trigonometric functions. $$2 \sin 58^{\circ} \cos 102^{\circ}$$

Find the remaining five trigonometric functions of \(\theta .\) $$\csc \theta=-\frac{5}{2}, \theta \text { in quadrant III }$$

Solve each equation for solutions over the interval \(\left[0^{\circ}, 360^{\circ}\right) .\) Give solutions to the near. est tenth as appropriate. $$\cos ^{2} \theta-\sin ^{2} \theta=0$$

Each expression simplifies to a constant, a single function, or a power of a function. Use fundamental identities to simplify each expression. $$1-\frac{1}{\sec ^{2} x}$$

Find one angle \(\theta\) that satisfies each of the following. $$\sin \theta=\cos \left(2 \theta+30^{\circ}\right)$$

Write each expression as a sum or difference of trigonometric functions. $$2 \cos 85^{\circ} \sin 140^{\circ}$$

Find the remaining five trigonometric functions of \(\theta .\) $$\cot \theta=\frac{4}{3}, \sin \theta>0$$

Solve each equation for solutions over the interval \(\left[0^{\circ}, 360^{\circ}\right) .\) Give solutions to the near. est tenth as appropriate. $$9 \sin ^{2} \theta-6 \sin \theta=1$$