Find the exact value of the expression, if possible. Do not use a calculator.
-$\tan \left( \tan ^ { - 1 } ( - 5.8 ) \right)$
A) $- 5.8$
B) $5.8$
C) $8.9$
D) $- 2.7$ Use a sketch to find the exact value of the expression.

Question

Quizplus · Accepted Answer

The expression $\tan(\tan^{-1}(-5.8))$ simplifies directly to $-5.8$ because the $\tan^{-1}$ function (also known as the arctangent function) finds an angle whose tangent is $-5.8$, and then $\tan$ of that angle gives back the original value, which is $-5.8$.

Find the Exact Value of the Expression, If Possible tan⁡(tan⁡−1(−5.8))\tan \left( \tan ^ { - 1 } ( - 5.8 ) \right)tan(tan−1(−5.8))

Find the Exact Value of the Expression, If Possible $\tan \left( \tan ^ { - 1 } ( - 5.8 ) \right)$