91Ó°ÊÓ

In Exercises 1-18, solve each of the trigonometric equations exactly over the indicated intervals. $$ \sin (2 \theta)=-\frac{1}{2}, 0 \leq \theta<2 \pi $$

In Exercises 1-36, solve each of the trigonometric equations exactly on the interval \(0 \leq x<2 \pi\). $$ \sin (2 x)=4 \cos x $$

In Exercises 1-12, find the exact value of each expression. Give the answer in radians. $$ \arctan (-\sqrt{3}) $$

In Exercises 1-18, solve each of the trigonometric equations exactly over the indicated intervals. $$ \cos (2 \theta)=\frac{\sqrt{3}}{2}, 0 \leq \theta<2 \pi $$

In Exercises 1-12, find the exact value of each expression. Give the answer in radians. $$ \operatorname{arccot}(\sqrt{3}) $$

In Exercises 1-36, solve each of the trigonometric equations exactly on the interval \(0 \leq x<2 \pi\). $$ \sin (2 x)=\sqrt{3} \sin x $$

In Exercises 1-36, solve each of the trigonometric equations exactly on the interval \(0 \leq x<2 \pi\). $$ \sqrt{2} \sin x=\tan x $$

In Exercises 1-18, solve each of the trigonometric equations exactly over the indicated intervals. $$ \sin \left(\frac{\theta}{2}\right)=-\frac{1}{2} \text {, all real numbers } $$

In Exercises 13-24, find the exact value of each expression. Give the answer in degrees. $$ \cos ^{-1}\left(\frac{1}{2}\right) $$

In Exercises 1-36, solve each of the trigonometric equations exactly on the interval \(0 \leq x<2 \pi\). $$ \cos (2 x)=\sin x $$