Find the values of x for which the equation sin x = -1 is true

Question

2 pi n

pi/2 + 2 pi n

pi + 2 pi n

3 pi/2 +2 pi n

Can someone please help. I don't understand how to do this.

Answer 1

Sin x = -1 when x is 270 degrees, which is 3 pi/2 radians. If you add (2 n pi) to that, where n is an integer, you get the same value for the sin.

Therefore the correct answer is the last one.

Answer 2

-2 (4 + n) = 24