If a cos 2x + b sin 2x = c has α and β as its roots, then prove that

If a cos 2x + b sin 2x = c has α and β as its roots, then prove that

If a cos 2x + b sin 2x = c has α and β as its roots, then prove that

If cos α + cos β = 0 = sin α + sin β, then prove that cos 2α + cos 2β = - 2 cos (α + β).

Prove that:

sin 5x = 5 sin x – 20 sin³ x + 16 sin⁵ x