Question

sin^-1tan(pi/4)
the key is pi/2
Please! explain how get the answer,ty

Answer 1

\[\sin^-1(\tan\frac{\pi}{4})\]
the key is pi/2

Answer 2

tan(pi/4) = 1

So sin^-1 of 1 = pi/2

Answer 3

use unit circle

Answer 4

sin^-1[tan pi/4] = sin^-1[tan45] = sin^-1[1] = 90 or pi/2