Question

Prove: Cot^2x-Csc^2x

Answer 1

Prove what?

Answer 2

thats all my teacher wrote.

Answer 3

Did she write "prove" or "simplify"

Answer 4

Probably Simplify

Answer 5

Then replace cot with cos/sin and replace csc with 1/sin

Answer 6

ok, is that how far is simplifs

Answer 7

Then add the fractions.

Answer 8

now i have CosX-1/SinX

Answer 9

\[\cot ^2-\csc ^2=\frac{\cos ^2}{\sin ^2}-\frac{1}{\sin ^2}\]

Answer 10

Sin^2/Sin^2=1

Answer 11

\[\frac{\cos ^2x-1}{\sin ^2x}=\frac{-1(1-\cos ^2x)}{\sin ^2x}=\frac{-1(\sin ^2x)}{ \sin ^2x}=-1\]

Answer 12

ok, thank you.

Answer 13

yw

Answer 14

Or if you have had the Pythagorean identities, you could use those.

Answer 15

yeah, proofs are just confusing.