Question #41584

Evaluate.

tan^-1[tan( π/4)]

Simplify your answer. Type your answer in radians.Type an exact answer, using π as needed. Use integer or fractions for any numbers in the expression.

Expert's answer

Answer on Question # 41584 – Math – Trigonometry

Evaluate.

tan1[tan(π/4)]\tan^{\wedge} -1[\tan (\pi /4)]

Simplify your answer. Type your answer in radians. Type an exact answer, using π\pi as needed. Use integer or fractions for any numbers in the expression.

Answer.


tan1[tan(π4)]=tan1(1)=arctan(1)=π4+πn(n=0,1,2,)\tan^{-1}\left[\tan \left(\frac{\pi}{4}\right)\right] = \tan^{-1}(1) = \arctan(1) = \frac{\pi}{4} + \pi n \quad (n = 0, 1, 2, \dots)


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