Question

If f(x)=sinx and g(x)=cosx show that f(x+y)= f(x).g(y)+g(x).f(y)

Answer 1

Step-by-step explanation:

given,f(x)=sin x

g(x)=cos x

like that,f(y)=sin y

g(y)=sin y

a/q,f(x+y)=f(x).g(y)+g(x).f(y)

RHS=f(x+y)

=sin(x+y)

=sin x.cos y+sin y.cos x

LHS=f(x).g(y)+g(x).f(y)

=sin x.cosy+cos x.sin y

so,LHS=RHS