Explain why sin^-1(sin(3pi/4))=/=3pi/4 when y=sin x and y=sin^-1 x are inverses.

We are given trigonometry expression.

when inverse of is

Inverse function gives principle value of angle.

Here we have sin inverse function whose principle value is

The value of y must be lie between principle value. This changes because of exact value of sine. If we find

As we know

Thus, The principle value are not same.

Hence,

898.1666667

step-by-step explanation:

5389/6 = 898.1666667