Question

Proof: sin t (csc t - sin t)= cos ^ 2 t

Answer 1

Could you show us what you've done so far please?

Answer 2

No I don't know how to do it. We have to simplify the left side to match the right

Answer 3

Yes, that's a start. Why don't you start off by expanding/distributing the LHS for me? You could get rid fo the brackets/paranthesis.

Answer 4

rid of*

Answer 5

Idk how to do that

Answer 6

First, you have to pick the most complicated side, sin(csct-sint) right?
sin t (csc t - sin t)= cos ^ 2 t
that means you have to do..
sintcsct-sintsint=cos^2t because you're distributing
now.. you can change csct because it equals 1/sint so..
(sint)(1/sint)-sintsint=cos^2t
the sin cancel and you're left with 1. sintsint turns into sin^2t
sin^2t equals.... 1-cos^2t
so 1-1-cos^2t
the ones cancel out so you're left with...
cos^2t = cos^2t