Question

cos^2 3x-cos2x=sinx-sin^2 3x и найти х€(90град;180град)

Answer 1

cos²3x-cos2x-sinx+sin²3x=0
1-1+2sin²x-sinx=0
2sin²x-sinx=0
sinx8(2sinx-1)=0
sinx=0⇒x=πn,n∈z
sinx=1/2⇒x=(-1)^k*π/6+πk,k∈z