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Magazine Problem 129
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. $$ \sin ^{-1}(\cos (\pi)) $$
Problem 130
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. $$ \tan ^{-1}(\sin (\pi)) $$
Problem 131
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. $$ \cos ^{-1}\left(\sin \left(\frac{\pi}{3}\right)\right) $$
Problem 132
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. $$ \tan ^{-1}\left(\sin \left(\frac{\pi}{3}\right)\right) $$
Problem 133
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. $$ \sin ^{-1}\left(\cos \left(\frac{-\pi}{2}\right)\right) $$
Problem 134
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. $$ \tan ^{-1}\left(\sin \left(\frac{4 \pi}{3}\right)\right) $$
Problem 135
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. $$ \sin ^{-1}\left(\sin \left(\frac{5 \pi}{6}\right)\right) $$
Problem 136
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. $$ \tan ^{-1}\left(\sin \left(\frac{-5 \pi}{2}\right)\right) $$
Problem 137
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. $$ \cos \left(\sin ^{-1}\left(\frac{4}{5}\right)\right) $$
Problem 138
For the following exercises, find the exact value, if possible, without a calculator. If it is not possible, explain why. $$ \sin \left(\cos ^{-1}\left(\frac{3}{5}\right)\right) $$
