One of Sin X, Cos X, and Tan X Is $$\cos x = - \frac { \sqrt { 2 } } { 2 } , \quad x \text { in } \left[ - \frac { 3 \pi } { 2 } , - \pi \right]$$

Multiple Choice

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

A) $\sin x = - \frac { \sqrt { 2 } } { 2 } , \tan x = 1$
B) $\sin x = \frac { \sqrt { 2 } } { 2 } , \tan x = 1$
C) $\sin x = - \frac { \sqrt { 2 } } { 2 } , \tan x = - 1$
D) $\sin x = \frac { \sqrt { 2 } } { 2 } , \tan x = - 1$