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Use the Given Values to Evaluate (If Possible)two Trigonometric Functions tan⁡φ\tan \varphi

Question 59

Multiple Choice

Use the given values to evaluate (if possible) two trigonometric functions tan⁡φ\tan \varphi and csc⁡ψ\csc \psi .​ cot⁡φ=−5,sin⁡ψ=1010\cot \varphi = - 5 , \sin \psi = \frac { \sqrt { 10 } } { 10 } ​


A) ​ tan⁡φ=−15csc⁡ψ=10\begin{array} { l } \tan \varphi = - \frac { 1 } { 5 } \\\csc \psi = \sqrt { 10 }\end{array} ​
B) ​ tan⁡φ=15csc⁡ψ=10\begin{array} { l } \tan \varphi = \frac { 1 } { 5 } \\\csc \psi = \sqrt { 10 }\end{array} ​
C) ​ tan⁡φ=15csc⁡ψ=−10\begin{array} { l } \tan \varphi = \frac { 1 } { 5 } \\\csc \psi = - \sqrt { 10 }\end{array} ​
D) ​ tan⁡φ=−5csc⁡ψ=10\begin{array} { l } \tan \varphi = - 5 \\\csc \psi = \sqrt { 10 }\end{array} ​
E) ​ tan⁡φ=−15csc⁡ψ=−10\begin{array} { l } \tan \varphi = - \frac { 1 } { 5 } \\\csc \psi = - \sqrt { 10 }\end{array} ​

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