How do you solve and find the value of sin(sin^-1(3/4))?

Mar 2, 2017

$\sin \left({\sin}^{- 1} \left(\frac{3}{4}\right)\right) = \frac{3}{4}$

Explanation:

By definition if $\sin A = x$, ${\sin}^{- 1} x = A$,

Now let ${\sin}^{- 1} \left(\frac{3}{4}\right) = x$

$\therefore \sin x = \frac{3}{4}$ and in this substituting $x$ for sin^(-1)(3/4)#

we get $\sin \left({\sin}^{- 1} \left(\frac{3}{4}\right)\right) = \frac{3}{4}$