How to simplify cot^2x-csc^2x?

Conor Hogan

Conor Hogan

Answered question

2022-12-21

How to simplify cot2xcsc2x?

Answer & Explanation

Gary Montoya

Gary Montoya

Beginner2022-12-22Added 9 answers

The following fundamental identity is 1+cot2(x)=csc2(x).
Starting with your given:
cot2(x)csc2(x)
Replace csc2(x) with 1+cot2(x):
cot2(x)(1+cot2(x))
=cot2(x)1cot2(x))
=1
Eduardo Cordova

Eduardo Cordova

Beginner2022-12-23Added 1 answers

Employ the identity 1+cot2x=csc2x
Subtract cot2x to both sides:
1=csc2xcot2x
Rewrite as:
1=cot2x+csc2x
Divde both sides by a negative ()
1=cot2xcsc2x

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