91Ó°ÊÓ

For the following exercises, find all exact solutions on the interval \([0,2 \pi)\) $$ 2 \sin ^{2} x-\sin x=0 $$

For the following exercises, find all exact solutions on the interval \([0,2 \pi)\) $$ \cos ^{2} x-\cos x-1=0 $$

For the following exercises, find all exact solutions on the interval \([0,2 \pi)\) $$ 2 \sin ^{2} x+5 \sin x+3=0 $$

For the following exercises, find all exact solutions on the interval \([0,2 \pi)\) $$ \cos x-5 \sin (2 x)=0 $$

For the following exercises, find all exact solutions on the interval \([0,2 \pi)\) $$ \frac{1}{\sec ^{2} x}+2+\sin ^{2} x+4 \cos ^{2} x=0 $$

For the following exercises, s simplify the equation algebraically as much as possible. Then use a calculator to find the solutions on the interval \([0,2 \pi)\) . Round to four decimal places. $$ \sqrt{3} \cot ^{2} x+\cot x=1 $$

For the following exercises, s simplify the equation algebraically as much as possible. Then use a calculator to find the solutions on the interval \([0,2 \pi)\) . Round to four decimal places. $$ \csc ^{2} x-3 \csc x-4=0 $$

For the following exercises, graph each side of the equation to find the zeroes on the interval \([0,2 \pi)\) . $$ 20 \cos ^{2} x+21 \cos x+1=0 $$

For the following exercises, graph each side of the equation to find the zeroes on the interval \([0,2 \pi)\) . $$ \sec ^{2} x-2 \sec x=15 $$

A man with his eye level 6 feet above the ground is standing 3 feet away from the base of a 15-foot vertical ladder. If he looks to the top of the ladder, at what angle above horizontal is he looking?