Final answer:
The value of sin-1 (tan pi/4 ) is pi/2.
Step-by-step explanation:
To find the value of sin-1(tan(pi/4)), we can use the relationship between sine and tangent. Since tan(pi/4) = 1, we want to find the angle whose sine is 1. The angle that satisfies this condition is pi/2. Therefore, the value of sin-1(tan(pi/4)) is pi/2.