Use trig identities to verify

Question

Use trig identities to verify -sin^2x+csc^2x-cos^2x=cot^2x

Answer 1

Greetings! Lets solve this shall we ?

So, we have -sin²x + csc²x - cos²x = cot²x . Lets simplify and verify this equation!

Then,

-sin²x + csc²x - cos²x = cot²x

csc²x - sin²x - cos²x = cot²x

csc²x - (sin²x + cos²x) = cot²x

csc²x - (1) = cot²x

Confirmed!

I hope this helped!