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Use the Given Values to Evaluate (If Possible)three Trigonometric Functions sec⁡x=3,sin⁡x=−63\sec x = \sqrt { 3 } , \sin x = - \frac { \sqrt { 6 } } { 3 }

Question 20

Multiple Choice

Use the given values to evaluate (if possible) three trigonometric functions cos x,csc x,tan x.​ sec⁡x=3,sin⁡x=−63\sec x = \sqrt { 3 } , \sin x = - \frac { \sqrt { 6 } } { 3 }


A) ​ cos⁡x=33csc⁡x=−62\begin{array} { l } \cos x = \frac { \sqrt { 3 } } { 3 } \\\csc x = - \frac { \sqrt { 6 } } { 2 }\end{array} tan x = - 2\sqrt { 2 }
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B) ​ cos⁡x=−33csc⁡x=−62\begin{array} { l } \cos x = - \frac { \sqrt { 3 } } { 3 } \\\csc x = - \frac { \sqrt { 6 } } { 2 }\end{array} tan x = - ​ 2\sqrt { 2 }
C) ​ cos⁡x=66csc⁡x=62\begin{array} { l } \cos x = \frac { \sqrt { 6 } } { 6 } \\\csc x = \frac { \sqrt { 6 } } { 2 }\end{array} ​tan x = 2\sqrt { 2 }
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D) ​ cos⁡x=33csc⁡x=−62\begin{array} { l } \cos x = \frac { \sqrt { 3 } } { 3 } \\\csc x = - \frac { \sqrt { 6 } } { 2 }\end{array} ​tan x = 2\sqrt { 2 }
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E) ​ cos⁡x=66csc⁡x=62\begin{array} { l } \cos x = \frac { \sqrt { 6 } } { 6 } \\\csc x = \frac { \sqrt { 6 } } { 2 }\end{array} ​tan x = - 2\sqrt { 2 }
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