91Ó°ÊÓ

For the following exercises, find exact solutions on the interval \([0,2 \pi) .\) Look for opportunities to use trigonometric identities. $$ \frac{2 \tan x}{2-\sec ^{2} x}-\sin ^{2} x=\cos ^{2} x $$

For the following exercises, find exact solutions on the interval \([0,2 \pi) .\) Look for opportunities to use trigonometric identities. $$ 1-\cos (2 x)=1+\cos (2 x) $$

For the following exercises, find exact solutions on the interval \([0,2 \pi) .\) Look for opportunities to use trigonometric identities. $$ \sec ^{2} x=7 $$

For the following exercises, find exact solutions on the interval \([0,2 \pi) .\) Look for opportunities to use trigonometric identities. $$ 10 \sin x \cos x=6 \cos x $$

For the following exercises, find exact solutions on the interval \([0,2 \pi) .\) Look for opportunities to use trigonometric identities. $$ -3 \sin t=15 \cos t \sin t $$

For the following exercises, find exact solutions on the interval \([0,2 \pi) .\) Look for opportunities to use trigonometric identities. $$ 4 \cos ^{2} x-4=15 \cos x $$

For the following exercises, find exact solutions on the interval \([0,2 \pi) .\) Look for opportunities to use trigonometric identities. $$ 8 \sin ^{2} x+6 \sin x+1=0 $$

For the following exercises, find exact solutions on the interval \([0,2 \pi) .\) Look for opportunities to use trigonometric identities. $$ 8 \cos ^{2} \theta=3-2 \cos \theta $$

For the following exercises, find exact solutions on the interval \([0,2 \pi) .\) Look for opportunities to use trigonometric identities. $$ 6 \cos ^{2} x+7 \sin x-8=0 $$

For the following exercises, find exact solutions on the interval \([0,2 \pi) .\) Look for opportunities to use trigonometric identities. $$ 12 \sin ^{2} t+\cos t-6=0 $$