Find the exact value of the expression.
-$\tan ^ { - 1 } ( 1 )$
A) $\frac { \pi } { 4 }$
B) $\frac { 3 \pi } { 4 }$
C) $\frac { 5 \pi } { 4 }$
D) $\frac { 7 \pi } { 4 }$

Question

Quizplus · Accepted Answer

The function $\tan^{-1}(1)$ asks for the angle whose tangent is 1. The tangent of an angle is equal to 1 when the angle is $\frac{\pi}{4}$ radians (or 45 degrees), which corresponds to an angle where the lengths of the opposite and adjacent sides of a right triangle are equal.

Find the Exact Value of the Expression tan⁡−1(1)\tan ^ { - 1 } ( 1 )tan−1(1)

Find the Exact Value of the Expression $\tan ^ { - 1 } ( 1 )$