Prove the following identity- sin2 45- - - - sin2 30- - - - sin 15- cos 15- - 2- - sin 2-

sin^ 2 A sin^ 2 B=sin(A+B)sin(A B) =sin(75 #176;)sin(15+2α) sin 15 #176;cos(15+2α) =cos(15 #176;)sin(15+2α) sin 15 #176;cos(15+2α) = ...

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Basic Trigonometric Identities

Prove the fol...

Question

Prove the following identity:
${sin}^{2} (45^{\circ} + α) - {sin}^{2} (30^{\circ} - α) - sin 15^{\circ} cos (15^{\circ} + 2 α) = sin 2 α$

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