Question

Answer my question as soon as possible........​

Answer 1

sin²24 - sin²6 :

We have to prove this

sin²A - sin²B = sin(A-B)sin(A+B)

taking LHS

sin²24 - sin²6 = sin(24 - 6) sin(24 + 6)

                      = sin 18 sin 30

We know that: sin 18° = (√5 - 1)/4 and Sin 30° = 1/2.

So it becomes

         = (√5 - 1)/4 * (1/2)

         = (√5 - 1)/8