Question

prove that sin^2(30°+ A)- Sin^2(30°-A)=root3/2 sin2A​

Answer 1

Answer:

Step-by-step explanation:

sin^2(30°+ A)- Sin^2(30°-A)

{sin(30+A) +sin(30-A)} {sin(30+A -sin(30-A)}

=2sin30cosA*2co30sinA

=4*1/2*√3/2 sinAcosA

=√3/2*2sinAcosA

=√3/2 sin2A=RHS