91Ó°ÊÓ

Find all real numbers in the interval \([0,2 \pi)\) that satisfy each equation. Round approximate answers to the nearest tenth. $$ \csc x-\sqrt{3}=\cot x $$

Find all real numbers in the interval \([0,2 \pi)\) that satisfy each equation. Round approximate answers to the nearest tenth. $$ \sin x+\sqrt{3}=3 \sqrt{3} \cos x $$

Find all values of \(\alpha\) in degrees that satisfy each equation. Round approximate answers to the nearest tenth of a degree. $$ \sec 2 \alpha=4.5 $$

Find the exact value of each expression without using a calculator or table. $$ \sec ^{-1}(2) $$

Find all real numbers in the interval \([0,2 \pi)\) that satisfy each equation. Round approximate answers to the nearest tenth. $$ 6 \sin ^{2} x-2 \cos x=5 $$

Find all values of \(\alpha\) in degrees that satisfy each equation. Round approximate answers to the nearest tenth of a degree. $$ \csc (\alpha / 2)=-2.3 $$

Solve each equation. Round approximate answers to the nearest tenth of a degree. $$ 2 \cos (\alpha)-2=0 \text { for }-360^{\circ} \leq \alpha \leq 360^{\circ} $$

Solve each equation. Round approximate answers to the nearest tenth of a degree. $$ 3 \sin (\beta)+10=7 \text { for } 0^{\circ} \leq \beta \leq 360^{\circ} $$

Find all values of \(\alpha\) in degrees that satisfy each equation. Round approximate answers to the nearest tenth of a degree. $$ \cot (\alpha / 2)=4.7 $$

Find all real numbers that satisfy each equation. Round approximate answers to the nearest hundredth. $$ 3 \sin (5 x)-1=0 $$