Question

4 sin t * cos^3 t - 4 sin^3 t * cos t. Помогите упростить

Answer 1

4sint.cos³t - 4sin³t.cost=4.sint.cost.(cos²t-sin²t)=2.2.sint.cost.cos2t=
=2.sin2t.cos2t=sin4t

Formuli:  2.sinx.cosx=sin2x , cos²x-sin²x=cos2x