Csc^2x-cos^2xcsc^2x=1 Prove this as an Identity?

Prove this Identity

1 Answer
Dean R.
Apr 30, 2018

#csc^2 x - cos ^2 x csc ^2 x ##= csc^2 x(1 - cos ^2 x)##= 1/sin^2 x (sin ^2 x)##=1#

Explanation:

Show #csc^2 x - cos ^2 x csc ^2 x = 1 #

#csc^2 x - cos ^2 x csc ^2 x #

#= csc^2 x(1 - cos ^2 x)#

#= 1/sin^2 x (sin ^2 x)#

#=1#

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