Inverse Trigonometric Functions: Quiz


Problem 4

Evaluate cos(arccos(arcsin(sin(tan(arctan(5)))))).


Answers, problem 4

First, tan(arctan(5)) = 5. Then, sin(5) = −0.959 to three decimal places, and arcin(−0.959) = −1.283. Finally, this is in the domain of arccos, so cos(arccos(−1.283)) = −1.283.


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