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

Question

asked Nov 12, 2019 51.6k views

2 Answers

Nizar Blond · Answer 1 · 2019-11-19T06:25:59+0000

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