Question

sinx(x+y)=sinx cosy + cosx siny​

Answer 1

Answer:

Trigonometric

Identities

sin(x-y)=sinx cosy - cosx siny

sin(x+y)=sinx cosy + cosx siny

cos(x-y)=cosx cosy+ sinx siny

cos(x+y)=cosx cosy - sinx siny

sin(2x) = sin(x+x) =sinx cosx + cosx sinxcos(2x)=cos(x+x)=cosx cosx -sinx sinx

cos(2x)=cos2x-sin2x

cos(2x)=(1-sin2x)-sin2x=1-2sin2xcos(2x)=cos2x-(1-cos2x)=2cos2x-1