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

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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) About Me  (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 sin%28x%29=opposite%2Fadjacent this means x=arcsin%288%2F17%29 (notice how the arcsine gives you an angle)

Now remember cos%28x%29=adjacent%2Fhypotenuse and sec%28x%29=1%2Fcos%28x%29=hypotenuse%2Fadjacent (note: the secant and cosine functions are reciprocals of each other)


So sec%28x%29=17%2F15


which also means

sec%28arcsin%288%2F17%29%29=17%2F15

So the answer is C)