91Ó°ÊÓ

In Exercises \(25-36\), use a calculator to evaluate each expression. Give the answer in degrees and round to two decimal places. $$ \sin ^{-1}(0.7821) $$

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

In Exercises 19-36, solve each of the trigonometric equations exactly on \(0 \leq \theta<2 \pi\). $$ \sin ^{2} \theta+2 \sin \theta+1=0 $$

In Exercises \(25-36\), use a calculator to evaluate each expression. Give the answer in degrees and round to two decimal places. $$ \tan ^{-1}(1.895) $$

In Exercises 19-36, solve each of the trigonometric equations exactly on \(0 \leq \theta<2 \pi\). $$ 2 \cos ^{2} \theta=\cos \theta $$

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

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

In Exercises \(25-36\), use a calculator to evaluate each expression. Give the answer in degrees and round to two decimal places. $$ \tan ^{-1}(3.2678) $$

In Exercises 19-36, solve each of the trigonometric equations exactly on \(0 \leq \theta<2 \pi\). $$ \tan ^{2} \theta=\sqrt{3} \tan \theta $$

In Exercises 19-36, solve each of the trigonometric equations exactly on \(0 \leq \theta<2 \pi\). $$ \csc ^{2} \theta+3 \csc \theta+2=0 $$