answer : true
[tex]sin(sin^-1(x))= x[/tex]
Proof:
Lets assume [tex](sin^-1(x))= y[/tex]
When we move sin^-1 to the other side it becomes sin
so x= sin(y)
Now we replace it on the left hand side
[tex]sin(sin^-1(x))[/tex]
[tex]sin(y)[/tex] = x (Right hand side)
Hence proved, [tex]sin(sin^-1(x))= x[/tex]
