51.6k views
2 votes
Find the value of Sin^-1(tan (pi/4)) a.0 b.pi c.2 d.pi/2

Find the value of Sin^-1(tan (pi/4)) a.0 b.pi c.2 d.pi/2-example-1
User Arturh
by
7.8k points

2 Answers

3 votes

Answer:

D

Explanation:

User Wosh
by
8.4k points
0 votes

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

User Nizar Blond
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories