Question

Which is equivalent to sin^-1(tan(pi/4)) ? Give your answer in radians.

Answer 1

the answer is b

Explanation:

Answer 2

We are to find the value of
`sin^(-1)(tan( ( \pi )/(4)))`

First we evaluate tan(π/4). The value of tan(π/4) is 1.

So,


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

sin(π/2) = 1
So,

`sin^(-1)(1)= ( \pi )/(2)`

Thus, we can write:


`sin^(-1)(tan( ( \pi )/(4)))= ( \pi )/(2)` radians.

So, the answer to this question is π/2 radians.