SOLUTION: 13) sec(arcsin 8/17) a) 17/8 b) 15/17 c) 17/15 d) 8/15 e) None of these

Question 122536: 13) sec(arcsin 8/17)

a) 17/8
b) 15/17
c) 17/15
d) 8/15
e) None of these

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 13

First a triangle with a leg of 8 and and a hypotenuse 17. Let x be the angle we'll refer to.

By using pythagorean's theorem, we find that the other leg is 15 units

Since this means (notice how the arcsine gives you an angle)

Now remember and (note: the secant and cosine functions are reciprocals of each other)

So

which also means

So the answer is C)

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