Use Fundamental Identities to Find the Exact Values of the Trigonometric

question 25

Multiple Choice

Use fundamental identities to find the exact values of the trigonometric functions for the given conditions. $\csc \theta = 7 \text { and } \cot \theta < 0$

• A) \(\begin{array} { l }
• \sin \theta = - \frac { \sqrt { 48 } } { 7 } , \quad \cos \theta = \frac { 1 } { 7 } , \quad \tan \theta = - \frac { 1 } { \sqrt { 48 } } \\
• \cot \theta = - \sqrt { 48 } , \quad \sec \theta = - \frac { 7 } { \sqrt { 48 } } , \quad \csc \theta = 7
• \end{array}\)
• B) \(\begin{array} { l }
• \sin \theta = - \frac { 1 } { 7 } , \quad \cos \theta = \frac { \sqrt { 48 } } { 7 } , \quad \tan \theta = \frac { 1 } { \sqrt { 48 } } \\
• \cot \theta = \sqrt { 48 } , \quad \sec \theta = \frac { 7 } { \sqrt { 48 } } , \quad \csc \theta = - 7
• \end{array}\)
• C) \(\begin{array} { c c }
• \sin \theta = \frac { 1 } { 48 } , \quad \cos \theta = - \frac { \sqrt { 48 } } { 48 } , \quad \tan \theta = - 1 \\
• \cot \theta = - \sqrt { 48 } , \quad \sec \theta = - \frac { 7 } { \sqrt { 48 } } , \quad \csc \theta = 48
• \end{array}\)
• D) \(\begin{array} { c }
• \sin \theta = \frac { 1 } { 7 } , \quad \cos \theta = - \frac { \sqrt { 48 } } { 7 } , \quad \tan \theta = - \frac { 1 } { \sqrt { 48 } } \\
• \cot \theta = - \sqrt { 48 } , \quad \sec \theta = - \frac { 7 } { \sqrt { 48 } } , \quad \csc \theta = 7
• \end{array}\)
• E) \(\begin{array} { l }
• \sin \theta = - \frac { 1 } { 48 } , \quad \cos \theta = \frac { \sqrt { 48 } } { 7 } , \quad \tan \theta = - \frac { 1 } { \sqrt { 48 } } \\
• \cot \theta = - \sqrt { 48 } , \quad \sec \theta = - \frac { 48 } { \sqrt { 48 } } , \quad \csc \theta = - 7
• \end{array}\)

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