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

question 59

Multiple Choice

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

• A)​ \(\begin{array} { l }
• \tan \varphi = - \frac { 1 } { 5 } \\
• \csc \psi = \sqrt { 10 }
• \end{array}\) ​
• B)​ \(\begin{array} { l }
• \tan \varphi = \frac { 1 } { 5 } \\
• \csc \psi = \sqrt { 10 }
• \end{array}\) ​
• C)​ \(\begin{array} { l }
• \tan \varphi = \frac { 1 } { 5 } \\
• \csc \psi = - \sqrt { 10 }
• \end{array}\) ​
• D)​ \(\begin{array} { l }
• \tan \varphi = - 5 \\
• \csc \psi = \sqrt { 10 }
• \end{array}\) ​
• E)​ \(\begin{array} { l }
• \tan \varphi = - \frac { 1 } { 5 } \\
• \csc \psi = - \sqrt { 10 }
• \end{array}\) ​

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