Question

Prove that sin? 6x - sina 4x = sin 2x sin10x​

Answer 1

Step-by-step explanation:

LHS=(sin6x-sin4x)(sin6x+sin4x)                         

sin A + sin B = 2 sin ( A + B)/ 2  cos ( A – B)/ 2                           

sinA-sinB= 2 cos (A+B)/2   sin(A-B)/2                                          

=(2cos5xsinx)(2sin5xcosx)                               

=(2sin5xcos5x)(2sinxcosx)

   2 sinAcosA = sin2A

                                

=sin10xsin2x=RHS      

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