Question

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

Answer 1

We are to find the value of $sin^{-1}(tan( \frac{ \pi }{4}))$

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

So, 

$sin^{-1}(tan( \frac{ \pi }{4})) =sin^{-1} (1)$

sin(π/2) = 1
So,
$sin^{-1}(1)= \frac{ \pi }{2}$

Thus, we can write:

$sin^{-1}(tan( \frac{ \pi }{4}))= \frac{ \pi }{2}$ radians.

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

Answer 2

Answer:

the answer is b

Step-by-step explanation: