Please can someone answer this with all the steps?
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LHS, using identities sinC +sinD = 2sin(C+D)/2 cos(C-D)/2 and
CosC –cosD = - 2sin(C+D)/2 sin(C-D)/2
(2sin(cos)]sinx + [ -2sin(sin(]cosx
(2sin2x.cosx)sinx + (-2sin2x.sinx)cosx
= 2sin2x.sinx.cosx - 2sin2x.sinx.cosx
= 0
= RHS
CosC –cosD = - 2sin(C+D)/2 sin(C-D)/2
(2sin(cos)]sinx + [ -2sin(sin(]cosx
(2sin2x.cosx)sinx + (-2sin2x.sinx)cosx
= 2sin2x.sinx.cosx - 2sin2x.sinx.cosx
= 0
= RHS
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