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Use the Given Values to Evaluate (If Possible)three Trigonometric Functions tan⁡x=940,sec⁡x=−4140\tan x = \frac { 9 } { 40 } , \sec x = - \frac { 41 } { 40 }

Question 57

Multiple Choice

Use the given values to evaluate (if possible) three trigonometric functions cos x,sin x,cot x.​ tan⁡x=940,sec⁡x=−4140\tan x = \frac { 9 } { 40 } , \sec x = - \frac { 41 } { 40 } ​


A) cos⁡x=4041sin⁡x=941cot⁡x=409\begin{array} { l } \cos x = \frac { 40 } { 41 } \\\\\sin x = \frac { 9 } { 41 } \\\\\cot x = \frac { 40 } { 9 }\end{array} ​
B) ​ cos⁡x=−4041sin⁡x=−941cot⁡x=−409\begin{array} { l } \cos x = - \frac { 40 } { 41 } \\\\\sin x = - \frac { 9 } { 41 } \\\\\cot x = - \frac { 40 } { 9 }\end{array} ​
C) ​ cos⁡x=−4041sin⁡x=−941cot⁡x=409\begin{array} { l } \cos x = - \frac { 40 } { 41 } \\\\\sin x = - \frac { 9 } { 41 } \\\\\cot x = \frac { 40 } { 9 }\end{array} ​
D) ​ cos⁡x=4041sin⁡x=−941cot⁡x=−409\begin{array} { l } \cos x = \frac { 40 } { 41 } \\\\\sin x = - \frac { 9 } { 41 } \\\\\cot x = - \frac { 40 } { 9 }\end{array} ​
E) ​ cos⁡x=−4041sin⁡x=941cot⁡x=409\begin{array} { l } \cos x = - \frac { 40 } { 41 } \\\\\sin x = \frac { 9 } { 41 } \\\\\cot x = \frac { 40 } { 9 }\end{array} ​

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