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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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