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Problem 44

Find all angles in the interval \(\left[0^{\circ}, 360^{\circ}\right]\) that satisfy each equation. Round approximations to the nearest tenth of a degree. $$ \tan \alpha=-2.31 $$

Problem 44

Find all real numbers in the interval \([0,2 \pi)\) that satisfy each equation. $$ \cot (3 x)+1=0 $$

Problem 45

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

Problem 45

Find all angles in the interval \(\left[0^{\circ}, 360^{\circ}\right]\) that satisfy each equation. Round approximations to the nearest tenth of a degree. $$ \cos (\alpha)-\sqrt{3}=0 $$

Problem 45

Find the exact value of each expression when possible. Round approximate answers to three decimal places. $$ \arctan (1 / \sqrt{3}) $$

Problem 46

Find the exact value of each expression when possible. Round approximate answers to three decimal places. $$ \arctan (1) $$

Problem 46

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

Problem 47

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

Problem 47

Find the exact value of each expression when possible. Round approximate answers to three decimal places. $$ \tan ^{-1}(\sqrt{3}) $$

Problem 48

Find the exact value of each expression when possible. Round approximate answers to three decimal places. $$ \tan ^{-1}(-\sqrt{3}) $$

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