Simplifying Using Trig Identities

Question

The expression 1-csc^2(x) is equivalent to 

Answer 1

From the identity

 

cot²x + 1 = csc²x

 

cot²x = -1 + csc²x

 

 

Negate both sides of the equation,

 

-cot²x = 1 - csc²x