One of Sin X, Cos X, and Tan X Is $\tan x = 1 , \quad x$

Multiple Choice

One of sin x, cos x, and tan x is given. Find the other two if x lies in the specified interval.
- $\tan x = 1 , \quad x$ in $\left[ \pi , \frac { 3 \pi } { 2 } \right]$

A) $\sin x = - \frac { \sqrt { 2 } } { 2 } , \cos x = \frac { \sqrt { 2 } } { 2 }$
B) $\sin x = - \frac { \sqrt { 2 } } { 2 } , \cos x = - \frac { \sqrt { 2 } } { 2 }$
C) $\sin x = \frac { \sqrt { 2 } } { 2 } , \cos x = \frac { \sqrt { 2 } } { 2 }$
D) $\sin x = \frac { \sqrt { 2 } } { 2 } , \cos x = - \frac { \sqrt { 2 } } { 2 }$