From the crests of y = sin x, 1 = sin (pi/2) = sin ((5/2)pi) = sin ((9/2)pi) = ... How do you evaluate sin^(-1) sin (pi/2), sin^(-1) sin ((5/2)pi), sin^(-1) sin ((9/2)pi), ...?

1 Answer
Jul 6, 2018

sin^(-1)sinx=x

Explanation:

Arcsine of sine of a quantity is the same quantity back again. So sin^(-1)sin(pi/2)=pi/2, etc.

Note that the notation sin^(-1)x is used to mean the inverse function of sine (i.e. arcsine).