Question

Find the value of Sin^-1(tan (pi/4)) a.0 b.pi c.2 d.pi/2

Answer 1

D

Explanation:

Answer 2

we are given

`sin^(-1)(tan((\pi)/(4)))`

Let's assume entire term as x

`sin^(-1)(tan((\pi)/(4)))=x`

now, we can take both sides as sin

`sin(sin^(-1)(tan((\pi)/(4))))=sin(x)`

since, sin and sin^-1 are inverse of each other

so, they will get cancelled

and we get

`tan((\pi)/(4))=sin(x)`

now, we know that

tan(pi/4)=1

`1=sin(x)`

and sin is 1 at pi/2

so, we get

`x=(\pi)/(2)`

so, option-D.........Answer