Homework Soursesin3xsinx2sinx4sin3x verify the identitySolutionsin3xsinx2si
sin3x-sinx=2sinx-4sin^3x verify the identity
Solution
sin3x-sinx=2sinx-4sin^3x
LHS sin 3x - sin x
Use Product-sum identities:
----> sinA - sinB = 2sin(A-B)/2cos(A+B)/2
= 2 cos 2x sin x.
= 2 sin x(1 - 2 sin^2x) ----- using double angle identity
= 2 sin x - 4 sin^3x
RHS
