Упростите: sin(a-3pi/2)cos(2pi-a)-sin(pi-a)sin(pi+a)

Question

Упростите: sin(a-3pi/2)cos(2pi-a)-sin(pi-a)sin(pi+a)

Answer 1

Sin(α-3π/2)*(cos2π-α)-sin(π-α)*sin(π+α)=
=cosα*cosα-sinα*(-sinα)=cos²α+sin²α=1

Comments

Спасибо огромное!!!