1. ## Simplify- addition formulas trigo

Hey,
cos(u-v)sinv + sin(u-v)cosv

so
cosu*cosv + sinu*sinv + sinu*sinv^2 + sinu*cosv^2 - cosu*sinv*cosv
=..?

Thanks

2. I'm not entirely sure what you're looking for but when I worked this out I got:

cos(u)cos(v)sin(v) + sin(u)sin(v)^2 + sin(u)cos(v)^2 - sin(v)cos(u)cos(v) = sin(u)(cos(v)^2 + sin(v)^2) = sin(u)

3. Hey that is right but

how does this

sin(u)(sinv^2+cosv^2)

turn into to sinu.

4. sin(any variable)^2 + cos(any variable)^2 = 1

This is the most important trig identity you'll ever learn. I'd prove this for you, but its 3 AM for me so here: Proofs of trigonometric identities - Wikipedia, the free encyclopedia.

5. Originally Posted by smmmc
Hey,
cos(u-v)sinv + sin(u-v)cosv

so
cosu*cosv + sinu*sinv + sinu*sinv^2 + sinu*cosv^2 - cosu*sinv*cosv
=..?

Thanks