One of Sin X, Cos X, and Tan X Is $$\cos x = \frac { 4 } { 5 } , \quad x \text { in } \left[ - \frac { \pi } { 2 } , 0 \right]$$

Multiple Choice

One of sin x, cos x, and tan x is given. Find the other two if x lies in the specified interval.
- $$\cos x = \frac { 4 } { 5 } , \quad x \text { in } \left[ - \frac { \pi } { 2 } , 0 \right]$$

A) $\sin x = - \frac { 3 } { 5 } , \tan x = - \frac { 3 } { 4 }$
B) $\sin x = - \frac { 3 } { 5 } , \tan x = - \frac { 4 } { 3 }$
C) $\sin x = \frac { 3 } { 5 } , \tan x = - \frac { 4 } { 3 }$
D) $\sin x = \frac { 3 } { 5 } , \tan x = \frac { 3 } { 4 }$