91Ó°ÊÓ

Use an identity to write each expression as a single trigonometric function value. $$\frac{1-\cos 59.74^{\circ}}{\sin 59.74^{\circ}}$$

Give solutions over the interval \([0,2 \pi)\) as approximations to the nearest hundredth when exact values cannot be determined. You may need to use the quadratic formula. Give approximate answers in Exercises \(59-64\) to the nearest tenth of a degree over the interval \(\left[0^{\circ}, 360^{\circ}\right)\) $$2 \cos ^{2} x+2 \cos x=1$$

Give solutions over the interval \([0,2 \pi)\) as approximations to the nearest hundredth when exact values cannot be determined. You may need to use the quadratic formula. Give approximate answers in Exercises \(59-64\) to the nearest tenth of a degree over the interval \(\left[0^{\circ}, 360^{\circ}\right)\) $$\cos ^{2} x-2 \cos x+3=0$$

Write expression in terms of sine and cosine, and simplify it. (The final expression does not have to be in terms of sine and cosine.) $$(\sec \theta+\csc \theta)(\cos \theta-\sin \theta)$$

Verify that each equation is an identity. $$\frac{\tan (A+B)-\tan B}{1+\tan (A+B) \tan B}=\tan A$$

Use a calculator to give each real-number value of \(y .\) $$y=\arccos 0.44624593$$

Use an identity to write each expression as a single trigonometric function value. $$\frac{\sin 158.2^{\circ}}{1+\cos 158.2^{\circ}}$$

Verify that each equation is an identity. $$\frac{\sin (x-y)}{\sin (x+y)}=\frac{\tan x-\tan y}{\tan x+\tan y}$$

Verify that each equation is an identity. $$\frac{2 \cos 2 \alpha}{\sin 2 \alpha}=\cot \alpha-\tan \alpha$$

Write expression in terms of sine and cosine, and simplify it. (The final expression does not have to be in terms of sine and cosine.) $$\csc \theta \sec \theta \tan \theta$$