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horsena [70]
3 years ago
8

Evaluate: sec(5pi/4)

Mathematics
2 answers:
PtichkaEL [24]3 years ago
4 0

answer:

C. negative square root 2

hope this helps! :)

I am Lyosha [343]3 years ago
3 0
We have the formula: sec x = 1 / cos x;
Then, sec (5pi/4) = 1/ cos (5pi/4);
But, cos (5pi/4) = cos (pi + pi/4);
We use the formula: cos (pi + y) = - cosy;
Then, cos (pi + pi/4) = -cos(pi/4) = -\frac{ \sqrt{2}}{2}  ;
Finally, sec (5pi/4) = -\sqrt{2}.
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