Find the exact value of the expression. Do not use a calculator.
-$\tan \left[ \tan ^ { - 1 } ( - 0.4 ) \right]$
A) $- 0.6$
B) $- 0.4$
C) $- 2.3652$
D) $- 2.5$

Question

Quizplus · Accepted Answer

The expression $\tan \left[ \tan ^ { - 1 } ( - 0.4 ) \right]$ simplifies directly to $-0.4$, because $\tan^{-1}$ is the inverse function of $\tan$, meaning it will return the original value of the input for the tangent function, which in this case is $-0.4$.

Find the Exact Value of the Expression tan⁡[tan⁡−1(−0.4)]\tan \left[ \tan ^ { - 1 } ( - 0.4 ) \right]tan[tan−1(−0.4)]

Find the Exact Value of the Expression $\tan \left[ \tan ^ { - 1 } ( - 0.4 ) \right]$