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

Question

Quizplus · Accepted Answer

The inverse tangent of 1, $\tan^{-1}(1)$, is the angle whose tangent is 1. This occurs at an angle of $\frac{\pi}{4}$ radians (or 45 degrees) in the first quadrant, where both sine and cosine (and thus their ratio, tangent) are positive and equal, making the tangent of the angle 1.

Find the Exact Value of the Real Number Y y=tan⁡−1(1)\mathrm { y } = \tan ^ { - 1 } ( 1 )y=tan−1(1)

Find the Exact Value of the Real Number Y $\mathrm { y } = \tan ^ { - 1 } ( 1 )$