91Ó°ÊÓ

Find the remaining five trigonometric functions of \(\theta .\) $$\cos \theta=-\frac{1}{4}, \sin \theta>0$$

Solve each equation for solutions over the interval \(\left[0^{\circ}, 360^{\circ}\right) .\) Give solutions to the near. est tenth as appropriate. $$3 \cot ^{2} \theta-3 \cot \theta-1=0$$

Verify that each trigonometric equation is an identity. $$\frac{\tan ^{2} \alpha+1}{\sec \alpha}=\sec \alpha$$

Write each expression as a sum or difference of trigonometric functions. $$8 \sin 7 x \sin 9 x$$

Write each expression as a product of trigonometric functions. $$\cos 4 x-\cos 2 x$$

Choose the expression from Column II that completes an identity. (II) A. \(\sin ^{2} x+\cos ^{2} x\) B. \(\cot x\) C. \(\sec ^{2} x\) D. \(\frac{\sin x}{\cos x}\) E. \(\cos x\) (I) $$\frac{\cos x}{\sin x}=$$_______

Solve each equation for solutions over the interval \(\left[0^{\circ}, 360^{\circ}\right) .\) Give solutions to the near. est tenth as appropriate. $$\sin ^{2} \theta-2 \sin \theta+3=0$$

Verify that each trigonometric equation is an identity. $$\cos ^{2} \theta\left(\tan ^{2} \theta+1\right)=1$$

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

Choose the expression from Column II that completes an identity. (II) A. \(\sin ^{2} x+\cos ^{2} x\) B. \(\cot x\) C. \(\sec ^{2} x\) D. \(\frac{\sin x}{\cos x}\) E. \(\cos x\) (I) $$\tan x=$$ ______.