Find the exact values below If applicable click on Undefined

Find the exact values below. If applicable, click on \"Undefined\". csc(-90 degree) = cot (-90 degree) =

Solution

1. Csc (-90)= 1/(sin(-90))

( Because sin(x) = 1/Csc(x)

1/(-(sin(90)))= - ( 1/Sin(90))

Because SIn(-x) = -Sin(x) and sin(90) = 1

= -1/1

= 1

Answer

2. Cot (-90) = 1/(tan(-90) since tan(x) = 1/cot(x)

= cos(-90) / Sin (-90) ( tan(x) = sin(x) / Cos(x))   

= Cos(90) / -Sin(90) ( cos(-x) = Cos (x) and SIn(-x) = -Sin(x) )

= 0 / (-1) (cos(90)= 0 and sin(90) = 0)

= 0