Simplify sin x h sin xh rightarrow sinx h cos xhSolutionS

Simplify: sin (x + h) - sin (x)/h rightarrow sin(x) (???/h) + cos (x)(???/h)

Solution

Solution:

(Sin(x+h) -sin(x))/h = (Sinx Cosh + Sinh Cosx - Sinx )/h .... Sin(A +B) = SinA CosB + CosA SinB

= Sinx (Cosh-1)/h + Cosx (Sinh)/h

therefore Sinx ( ???)/h + Cosx (???)/h

on comparing with our final value

first ??? = Cosh-1

second ??? = Sinh

Answer