Question

prove the given Identity of trigonometry of transformation of sum of difference to product​

Answer 1

The sum-to-product formulas are as follows:

The sum-to-product formulas are as follows:sinα+sinβ=2sin(α+β2)cos(α−β2)

The sum-to-product formulas are as follows:sinα+sinβ=2sin(α+β2)cos(α−β2)sinα−sinβ=2sin(α−β2)cos(α+β2)

The sum-to-product formulas are as follows:sinα+sinβ=2sin(α+β2)cos(α−β2)sinα−sinβ=2sin(α−β2)cos(α+β2)cosα−cosβ=−2sin(α+β2)sin(α−β2)

The sum-to-product formulas are as follows:sinα+sinβ=2sin(α+β2)cos(α−β2)sinα−sinβ=2sin(α−β2)cos(α+β2)cosα−cosβ=−2sin(α+β2)sin(α−β2)cosα+cosβ=2sin(α+β2)sin(α−β2)

hope it helps you