Question

Which is equivalent sin^-1 (cos(pi/2))?Give your answer in radians

Answer 1

[A] 0

Explanation:

Use the following identity: cos(x) = sin(
`(\pi )/(2)` - x)

arcsin(cos(
`(\pi )/(2)`)) = arcsin(sin(
`(\pi )/(2)` -
`(\pi )/(2)`))

= arcsin(sin(
`(\pi )/(2) - (\pi )/(2)`))

Simplify:

arcsin(sin(0)) = 0

Hope this helps!