Use the Given Values to Evaluate (If Possible)three Trigonometric Functions $\sin x = \frac { 1 } { 5 }$

question 48

Multiple Choice

Use the given values to evaluate (if possible) three trigonometric functions cos x,csc x,tan x.​ $\sin x = \frac { 1 } { 5 }$ , $\cos x > 0$ ​

• A)​ \(\begin{array} { l }
• \cos x = - \frac { 2 \sqrt { 6 } } { 5 } \\
• \csc x = 5 \\
• \tan x = \frac { \sqrt { 6 } } { 12 }
• \end{array}\) ​
• B)​ \(\begin{array} { l }
• \cos x = \frac { 2 \sqrt { 6 } } { 5 } \\
• \csc x = 5 \\
• \tan x = - \frac { \sqrt { 6 } } { 12 }
• \end{array}\) ​
• C)​ \(\begin{array} { l }
• \cos x = - \frac { 2 \sqrt { 6 } } { 5 } \\
• \csc x = - 5 \\
• \tan x = - \frac { \sqrt { 6 } } { 12 }
• \end{array}\) ​
• D)​ \(\begin{array} { l }
• \cos x = \frac { 2 \sqrt { 6 } } { 5 } \\
• \csc x = 5 \\
• \tan x = \frac { \sqrt { 6 } } { 12 }
• \end{array}\) ​
• E)​ \(\begin{array} { l }
• \cos x = \frac { 2 \sqrt { 6 } } { 5 } \\
• \csc x = \frac { 1 } { 5 } \\
• \tan x = \frac { \sqrt { 6 } } { 12 }
• \end{array}\) ​