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

question 45

Multiple Choice

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

• A)​ \(\begin{aligned}
• \cot \theta & = \frac { 1 } { 4 } \\
• \sec \theta & = - \sqrt { 17 } \\
• \cos \theta & = \frac { \sqrt { 17 } } { 17 }
• \end{aligned}\) ​
• B)​ \(\begin{array} { l }
• \cot \theta = 4 \\
• \sec \theta = \sqrt { 17 } \\
• \cos \theta = \frac { \sqrt { 17 } } { 17 }
• \end{array}\) ​
• C)​ \[\begin{array} { l }
• \cot \theta = \frac { 1 } { 4 } \\
• \sec \theta = - \sqrt { 17 } \\
• \cos \theta = - \frac { \sqrt { 17 } } { 17 }
• \end{array}\] ​
• D)​ \[\begin{array} { l }
• \cot \theta = - \frac { 1 } { 4 } \\
• \sec \theta = - \sqrt { 17 } \\
• \cos \theta = - \frac { \sqrt { 17 } } { 17 }
• \end{array}\] ​
• E)​ \(\begin{array} { l }
• \cot \theta = \frac { 1 } { 4 } \\
• \sec \theta = \sqrt { 17 } \\
• \cos \theta = - \frac { \sqrt { 17 } } { 17 }
• \end{array}\) ​

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