Question

If x = Arc sin (-1/2), find angle x.

Answer 1

Sketch a right triangle, angle A at the left. since cos A = 1/x, label the side adjacent to A with 1, hypotenuse with x. So side opposite A must be √(x² - 1). A = arc cos 1/x, thus sin A = sin(arc cos 1/x) = [√(x² - 1)]/x

Answer 2

So in other words it's sin inverse (-1/2)?

Answer 3

YES

Answer 4

thanks buddy