2500-20 ४032XUg) = ———————— उप ००० °X UIS

1.	2500-20 ४032XUg) = ———————— उप ००० °X UIS + XE UISZ —XG UIS
Answer» (sin5x-2sin3x+sinx)/(cos5x-cosx) =[{2sin(5x+x)/2cos(5x-x)/2}-2sin3x]/{2sin(5x+x)/2sin(x-5x)/2} =(2sin3xcos2x-2sin3x)/{2sin3xsin(-2x)} ={2sin3x(cos2x-1)}/{-2sin3xsin2x}=-(cos2x-1)/sin2x =(1-cos2x)/sin2x =2sin²x/2sinxcosx=sinx/cosx =tanx (Proved)

2500-20 ४032XUg) = ———————— उप ००० °X UIS + XE UISZ —XG UIS

Answer»

(sin5x-2sin3x+sinx)/(cos5x-cosx)

=[{2sin(5x+x)/2cos(5x-x)/2}-2sin3x]/{2sin(5x+x)/2sin(x-5x)/2}

=(2sin3xcos2x-2sin3x)/{2sin3xsin(-2x)}

={2sin3x(cos2x-1)}/{-2sin3xsin2x}=-(cos2x-1)/sin2x

=(1-cos2x)/sin2x

=2sin²x/2sinxcosx=sinx/cosx

=tanx (Proved)