2 csc x - 3 = - 5

Answer 1

2 csc ( x ) - 3 = - 5 Add 3 to both sides

2 csc ( x ) - 3 + 3 = - 5 + 3

2 csc ( x ) = - 2 Divide both sides by 2

csc ( x ) = - 1

Solutions:

x = 2 pi n - pi / 2

and

x = 2 pi n + 3 pi / 2

n is an integer