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Use the Given Values to Evaluate (If Possible) Three Trigonometric secx=4,sinx>0\sec x = 4 , \sin x > 0

Question 234

Multiple Choice

Use the given values to evaluate (if possible) three trigonometric functions cos x, sin x, tan x.
secx=4,sinx>0\sec x = 4 , \sin x > 0


A) cosx=14sinx=154tanx=15\begin{array} { l } \cos x = \frac { 1 } { 4 } \\\sin x = - \frac { \sqrt { 15 } } { 4 } \\\tan x = \sqrt { 15 }\end{array}
B) cosx=14sinx=154tanx=15\begin{array} { l } \cos x = \frac { 1 } { 4 } \\\sin x = \frac { \sqrt { 15 } } { 4 } \\\tan x = \sqrt { 15 }\end{array}
C) cosx=14sinx=154tanx=15\begin{array} { l } \cos x = \frac { 1 } { 4 } \\\sin x = - \frac { \sqrt { 15 } } { 4 } \\\tan x = - \sqrt { 15 }\end{array}
D) cosx=14sinx=154tanx=15\begin{array} { l } \cos x = - \frac { 1 } { 4 } \\\sin x = \frac { \sqrt { 15 } } { 4 } \\\tan x = \sqrt { 15 }\end{array}
E) cosx=14sinx=154tanx=15\begin{array} { l } \cos x = - \frac { 1 } { 4 } \\\sin x = - \frac { \sqrt { 15 } } { 4 } \\\tan x = - \sqrt { 15 }\end{array}

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