math
posted by Anonymous .
simplify the following expression sin(v+x)sin(vx)?
Rewrite the expression as an algebraic expression in x. sin(2cos^1x)

sin(v+x) = sinv*cosx + cosv*sinx
sin(vx) = sinv*cosx  cosv*sinx
subtract to get
2cosv*sinx
sin(cos^1 x) = √(1x^2)
by definition, cos(cos^1 x) = x
sin(2cos^1 x) = 2sin(cos^1 x)cos(cos^1 x)
= 2√(1x^2) * x
= 2x√(1x^2)