Determine the exact value of $\arctan ( - 1 )$.
A) $\frac { \pi } { 4 }$
B) $- \frac { \pi } { 2 }$
C) $- \frac { \pi } { 4 }$
D) 0
E) $\frac { \pi } { 2 }$

Question

Quizplus · Accepted Answer

The tangent function is negative in the third and fourth quadrants. Therefore, $\arctan(-1)$ must be in either the third or fourth quadrant. Additionally, we know that $	an(-\pi/4)=-1$, so $\arctan(-1)=-\pi/4$. The only answer option that matches this value is $\boxed{	extbf{(C)}\ -\frac{\pi}{4}}$.

Determine the Exact Value Of arctan⁡(−1)\arctan ( - 1 )arctan(−1) A)

Determine the Exact Value Of $\arctan ( - 1 )$
A)