Find the exact value of the expression, if it is defined. (If an answer is undefined, enter UNDEFINED.) sin(sin−1(5))

Question

Find the exact value of the expression, if it is defined. (If an answer is undefined, enter UNDEFINED.)

sin(sin⁻¹(5))

Answer 1

Baka,

We want to find the value of sin(y) where y=sin⁻¹(5)

If y = sin⁻¹(5), then sin(y) =5, which is undefined, because the value of sin(y) must be between -1 and 1 inclusive.

Therefore your problem has no solution.