Question
Find arcsin [cos (Pi/2)]
The answer is 0.
How do you solve this problem? Thanks.
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
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
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