Question

Evaluate the following expression. tan^-1(tan(-0.4)) Answer Enter your answer as exact as possible, and in radian form. Round to four decimal places if necessary.

          Evaluate the following expression.

tan^-1(tan(-0.4))

Answer
Enter your answer as exact as possible, and in radian form. Round to four decimal places if necessary.

Added by Bryson J.

Precalculus: An Investigation of Functions

David Lippman 2017 Edition

Chapter 6

Instant Answer

Solved by Expert Danielle Fairburn

03/31/2024

Step 1

Second, the range of the inverse tangent function, \(\tan^{-1}(x)\), is \(-\pi/2 < x < \pi/2\). So, if we have \(\tan^{-1}(\tan(x))\), the result will be the value of x that falls within the range of \(-\pi/2 < x < \pi/2\). In this case, x = -0.4, which is Show more…

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