Evaluate the Expressions Using Reference Angles $\sec \left( \frac { 7 \pi } { 4 } \right)$

question 12

Multiple Choice

Evaluate the expressions using reference angles. $\sec \left( \frac { 7 \pi } { 4 } \right)$ $\tan \left( \frac { 7 \pi } { 4 } \right)$

• A) \(\sec \left( \frac { 7 \pi } { 4 } \right) = \sqrt { 3 }\) \(\tan \left( \frac { 7 \pi } { 4 } \right) = 2\)
• B) \(\sec \left( \frac { 7 \pi } { 4 } \right) = \sqrt { 2 }\) \(\tan \left( \frac { 7 \pi } { 4 } \right) = - 1\)
• C) \(\sec \left( \frac { 7 \pi } { 4 } \right) = \sqrt { 2 }\) \(\tan \left( \frac { 7 \pi } { 4 } \right) = - \frac { 1 } { 2 }\)
• D) \(\sec \left( \frac { 7 \pi } { 4 } \right) = \frac { \sqrt { 2 } } { 2 }\) \(\tan \left( \frac { 7 \pi } { 4 } \right) = - 4\)
• E) \(\sec \left( \frac { 7 \pi } { 4 } \right) = \sqrt { 5 }\) \(\tan \left( \frac { 7 \pi } { 4 } \right) = - 1\)

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