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Evaluate the Expressions Using Reference Angles sec⁡(7π4)\sec \left( \frac { 7 \pi } { 4 } \right)

Question 12

Multiple Choice

Evaluate the expressions using reference angles. sec⁡(7π4) \sec \left( \frac { 7 \pi } { 4 } \right) tan⁡(7π4) \tan \left( \frac { 7 \pi } { 4 } \right)


A) sec⁡(7π4) =3\sec \left( \frac { 7 \pi } { 4 } \right) = \sqrt { 3 } tan⁡(7π4) =2\tan \left( \frac { 7 \pi } { 4 } \right) = 2
B) sec⁡(7π4) =2\sec \left( \frac { 7 \pi } { 4 } \right) = \sqrt { 2 } tan⁡(7π4) =−1\tan \left( \frac { 7 \pi } { 4 } \right) = - 1
C) sec⁡(7π4) =2\sec \left( \frac { 7 \pi } { 4 } \right) = \sqrt { 2 } tan⁡(7π4) =−12\tan \left( \frac { 7 \pi } { 4 } \right) = - \frac { 1 } { 2 }
D) sec⁡(7π4) =22\sec \left( \frac { 7 \pi } { 4 } \right) = \frac { \sqrt { 2 } } { 2 } tan⁡(7π4) =−4\tan \left( \frac { 7 \pi } { 4 } \right) = - 4
E) sec⁡(7π4) =5\sec \left( \frac { 7 \pi } { 4 } \right) = \sqrt { 5 } tan⁡(7π4) =−1\tan \left( \frac { 7 \pi } { 4 } \right) = - 1

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