Question

Find the principal value of sin^-1(sin(-3 pi/4))

Answer 1

sin−1(cos(3π4))=−π4. Explanation: Let ,. X=sin−1( cos(3π4)). X=sin−1(cos(π−π4)). X=sin−1(−cos(π4)) ....→[∵2ndQuadrant]. X=sin−1(−1√2).

Answer 2

Answer:

The answer is

$- \frac{3\pi}{4}$

Hope it helped ❤