Asked by Chris

Find arcsin [cos (Pi/2)]

The answer is 0.

How do you solve this problem? Thanks.

Answers

Answered by Count Iblis
You have to use the definition of cos and sin. If you use the geometric definition using a right triangle, then you see that

cos(x) = sin(pi/2-x)

If you take the cosine of one angle (alpha), you get the same as when you take the sin of the other angle (beta). Now, alpha is 90° - beta, so the result follows.

So, arcsin[cos(pi/2)] =
arcsin[sin(0)] = 0
Answered by Blondie
You are standing 35 feet from a billboard. The angle of elevation is 58 degrees. How tall is the billboard? Round your answer to the nearest foot
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