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Problem 41

Find \(\alpha\) to the nearest tenth of a degree, where \(0^{\circ} \leq \alpha \leq 180^{\circ} .\) $$ \cos \alpha=0.01 $$

Problem 41

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. $$ \sin \alpha=-0.244 $$

Problem 41

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

Problem 42

Find \(\alpha\) to the nearest tenth of a degree, where \(0^{\circ} \leq \alpha \leq 180^{\circ} .\) $$ \cos \alpha=-0.01 $$

Problem 42

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. $$ \sin \alpha=0.55 $$

Problem 42

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

Problem 43

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

Problem 43

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. $$ \tan \alpha=5.42 $$

Problem 43

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

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. $$ \tan \alpha=-2.31 $$

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