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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