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Use the Given Values to Evaluate (If Possible)three Trigonometric Functions cot⁡θ,sec⁡θ,cos⁡θ\cot \theta , \sec \theta , \cos \theta

Question 45

Multiple Choice

Use the given values to evaluate (if possible) three trigonometric functions cot⁡θ,sec⁡θ,cos⁡θ\cot \theta , \sec \theta , \cos \theta .​ tan⁡θ=4,cos⁡θ<0\tan \theta = 4 , \cos \theta < 0 ​


A) ​ cot⁡θ=14sec⁡θ=−17cos⁡θ=1717\begin{aligned}\cot \theta & = \frac { 1 } { 4 } \\\sec \theta & = - \sqrt { 17 } \\\cos \theta & = \frac { \sqrt { 17 } } { 17 }\end{aligned} ​
B) ​ cot⁡θ=4sec⁡θ=17cos⁡θ=1717\begin{array} { l } \cot \theta = 4 \\\sec \theta = \sqrt { 17 } \\\cos \theta = \frac { \sqrt { 17 } } { 17 }\end{array} ​
C) ​ cot⁡θ=14sec⁡θ=−17cos⁡θ=−1717\begin{array} { l } \cot \theta = \frac { 1 } { 4 } \\\sec \theta = - \sqrt { 17 } \\\cos \theta = - \frac { \sqrt { 17 } } { 17 }\end{array} ​
D) ​ cot⁡θ=−14sec⁡θ=−17cos⁡θ=−1717\begin{array} { l } \cot \theta = - \frac { 1 } { 4 } \\\sec \theta = - \sqrt { 17 } \\\cos \theta = - \frac { \sqrt { 17 } } { 17 }\end{array} ​
E) ​ cot⁡θ=14sec⁡θ=17cos⁡θ=−1717\begin{array} { l } \cot \theta = \frac { 1 } { 4 } \\\sec \theta = \sqrt { 17 } \\\cos \theta = - \frac { \sqrt { 17 } } { 17 }\end{array} ​

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