One of Sin X, Cos X, and Tan X Is $\tan x = - \frac { 3 } { 4 } , \quad x$

question 153

Multiple Choice

One of sin x, cos x, and tan x is given. Find the other two if x lies in the specified interval.
- $\tan x = - \frac { 3 } { 4 } , \quad x$ in $\left[ \frac { \pi } { 2 } , \pi \right]$

• A) \(\sin x = - \frac { 3 } { 5 } , \cos x = \frac { 4 } { 5 }\)
• B) \(\sin x = \frac { 3 } { 5 } , \cos x = \frac { 4 } { 5 }\)
• C) \(\sin x = \frac { 4 } { 5 } , \cos x = - \frac { 3 } { 5 }\)
• D) \(\sin x = \frac { 3 } { 5 } , \cos x = - \frac { 4 } { 5 }\)

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