cosθ^2+cos(θ+2π/3)^2+cos(θ-2π/3)^2 计算_数学解答

cosθ^2+cos(θ+2π/3)^2+cos(θ-2π/3)^2 计算

人气：469 ℃　时间：2020-09-30 18:02:54

解答

cos^2θ+cos^2(θ+2π/3)+cos^2(θ-2π/3)=(1+cos2θ)/2+[1+cos(2θ+4π/3)]/2+[1+cos(2θ-4π/3)]/2=3/2 +[cos2θ+cos(2θ+4π/3)+cos(2θ-4π/3)]/2cos2θ+cos(2θ+4π/3)+cos(2θ-4π/3)=cos2θ+cos2θcos(4π/3)...