91Ó°ÊÓ

Use identities to find values of the sine and cosine functions for each angle measure. \(\theta,\) given \(\cos 2 \theta=\frac{3}{4}\) and \(\theta\) terminates in quadrant III

Use identities to find values of the sine and cosine functions for each angle measure. $$\theta, \text { given } \cos 2 \theta=-\frac{5}{12} \text { and } 90^{\circ} < \theta < 180^{\circ}$$

Factor each trigonometric expression. $$4 \tan ^{2} \beta+\tan \beta-3$$

Use an identity to write each expression as a single trigonometric function value or as a single number. $$1-2 \sin ^{2} 15^{\circ}$$

Write each function value in terms of the cofunction of a complementary angle. $$\tan 87^{\circ}$$

Write each function value in terms of the cofunction of a complementary angle. $$\csc \left(14^{\circ} 24^{\prime}\right)$$

Use an identity to write each expression as a single trigonometric function value or as a single number. $$\frac{1}{4}-\frac{1}{2} \sin ^{2} 47.1^{\circ}$$

Use an identity to write each expression as a single trigonometric function value or as a single number. $$\frac{1}{8} \sin 29.5^{\circ} \cos 29.5^{\circ}$$

Each expression simplifies to a constant, a single function, or a power of a function. Use fundamental identities to simplify each expression. $$\frac{\sin \beta \tan \beta}{\cos \beta}$$

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