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Magazine Problem 48
Find the exact value of each expression when possible. Round approximate answers to three decimal places. $$ \tan ^{-1}(-\sqrt{3}) $$
Problem 49
Find all real numbers in the interval \([0,2 \pi)\) that satisfy each equation. Round approximate answers to the nearest tenth. $$ 2 \cos ^{2} x+3 \cos x=-1 $$
Problem 49
Find the exact value of each expression when possible. Round approximate answers to three decimal places. $$ \arctan (5788) $$
Problem 49
Find all values of \(\alpha\) in degrees that satisfy each equation. Round approximate answers to the nearest tenth of a degree. $$ \sin 3 \alpha=0.34 $$
Problem 50
Find all real numbers in the interval \([0,2 \pi)\) that satisfy each equation. Round approximate answers to the nearest tenth. $$ 2 \sin ^{2} x+\sin x=1 $$
Problem 50
Find the exact value of each expression when possible. Round approximate answers to three decimal places. $$ \arctan (-5788) $$
Problem 50
Find all values of \(\alpha\) in degrees that satisfy each equation. Round approximate answers to the nearest tenth of a degree. $$ \cos 2 \alpha=-0.22 $$
Problem 51
Find the exact value of each expression without using a calculator or table. $$ \cot ^{-1}(1 / \sqrt{3}) $$
Problem 51
Find all values of \(\alpha\) in degrees that satisfy each equation. Round approximate answers to the nearest tenth of a degree. $$ \sin 3 \alpha=-0.6 $$
Problem 52
Find all real numbers in the interval \([0,2 \pi)\) that satisfy each equation. Round approximate answers to the nearest tenth. $$ \csc x-\sqrt{3}=\cot x $$
