Example 1. Evaluate(i)sin-1|sin π6

1.	Example 1. Evaluate(i)sin-1\|sin π6
Answer» The following is a pretty good definition for any inverse function: Letf(x)be a function that has an inverse and letf−1(x)be that inverse, thenf−1(f(x))=xandf(f−1(x))=x Therefore, the inverse sine "undoes" what the sine does. So,sin^-1(sin pi/6) = pi/6 sin^-1 and sin cancel with each other so the answer is pi/6

Answer»

The following is a pretty good definition for any inverse function:

Letf(x)be a function that has an inverse and letf−1(x)be that inverse, thenf−1(f(x))=xandf(f−1(x))=x

Therefore, the inverse sine "undoes" what the sine does.

So,sin^-1(sin pi/6) = pi/6

sin^-1 and sin cancel with each other so the answer is pi/6

Discussion