Question

Find arcsin [cos (Pi/2)]

The answer is 0.

How do you solve this problem? Thanks.

Answers

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
Blondie
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