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Use the Given Values to Evaluate (If Possible)three Trigonometric Functions cos⁡(π2−x)=817,cos⁡x=1517\cos \left( \frac { \pi } { 2 } - x \right) = \frac { 8 } { 17 } , \cos x = \frac { 15 } { 17 }

Question 33

Multiple Choice

Use the given values to evaluate (if possible) three trigonometric functions csc x,tan x,cot x.​ cos⁡(π2−x) =817,cos⁡x=1517\cos \left( \frac { \pi } { 2 } - x \right) = \frac { 8 } { 17 } , \cos x = \frac { 15 } { 17 } ​


A) ​ csc⁡x=−85tan⁡x=−815cot⁡x=−158\begin{array} { l } \csc x = - \frac { 8 } { 5 } \\\\\tan x = - \frac { 8 } { 15 } \\\\\cot x = - \frac { 15 } { 8 }\end{array} ​
B) ​ csc⁡x=−158tan⁡x=815cot⁡x=158\begin{array} { l } \csc x = - \frac { 15 } { 8 } \\\\\tan x = \frac { 8 } { 15 } \\\\\cot x = \frac { 15 } { 8 }\end{array} ​
C) ​ csc⁡x=158tan⁡x=−815cot⁡x=158\begin{array} { l } \csc x = \frac { 15 } { 8 } \\\tan x = - \frac { 8 } { 15 } \\\cot x = \frac { 15 } { 8 }\end{array} ​
D) ​ csc⁡x=178tan⁡x=815cot⁡x=158\begin{array} { l } \csc x = \frac { 17 } { 8 } \\\\\tan x = \frac { 8 } { 15 } \\\\\cot x = \frac { 15 } { 8 }\end{array} ​
E) ​ csc⁡x=58tan⁡x=815cot⁡x=−158\begin{array} { l } \csc x = \frac { 5 } { 8 } \\\\\tan x = \frac { 8 } { 15 } \\\\\cot x = - \frac { 15 } { 8 }\end{array} ​

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