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Use the Given Values to Evaluate (If Possible)three Trigonometric Functions sin⁡x=15\sin x = \frac { 1 } { 5 }

Question 48

Multiple Choice

Use the given values to evaluate (if possible) three trigonometric functions cos x,csc x,tan x.​ sin⁡x=15\sin x = \frac { 1 } { 5 } , cos⁡x>0\cos x > 0 ​


A) ​ cos⁡x=−265csc⁡x=5tan⁡x=612\begin{array} { l } \cos x = - \frac { 2 \sqrt { 6 } } { 5 } \\\csc x = 5 \\\tan x = \frac { \sqrt { 6 } } { 12 }\end{array} ​
B) ​ cos⁡x=265csc⁡x=5tan⁡x=−612\begin{array} { l } \cos x = \frac { 2 \sqrt { 6 } } { 5 } \\\csc x = 5 \\\tan x = - \frac { \sqrt { 6 } } { 12 }\end{array} ​
C) ​ cos⁡x=−265csc⁡x=−5tan⁡x=−612\begin{array} { l } \cos x = - \frac { 2 \sqrt { 6 } } { 5 } \\\csc x = - 5 \\\tan x = - \frac { \sqrt { 6 } } { 12 }\end{array} ​
D) ​ cos⁡x=265csc⁡x=5tan⁡x=612\begin{array} { l } \cos x = \frac { 2 \sqrt { 6 } } { 5 } \\\csc x = 5 \\\tan x = \frac { \sqrt { 6 } } { 12 }\end{array} ​
E) ​ cos⁡x=265csc⁡x=15tan⁡x=612\begin{array} { l } \cos x = \frac { 2 \sqrt { 6 } } { 5 } \\\csc x = \frac { 1 } { 5 } \\\tan x = \frac { \sqrt { 6 } } { 12 }\end{array} ​

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