Question

If n is an​ integer, n times •180degrees° represents an integer multiple of 180degrees° and​ (2nplus+​1) times •90degrees° represents an odd integer multiple of 90degrees°​, and so on. determine whether the expression is equal to​ 0, ​1,minus−​1, or is undefined.

Answer 1

Solution: csc stands for cosecant
csc (2n+1) x 180˚
= Csc (360n +180)
= csc (180) and the csc has a period of 360˚
= 1/ sin (180)
As sin 180 = 0 so,
csc ((2n+1) x 180 degrees) is undefined as 1/0 is undefined when you calculate it in the calculator.