化简
问题描述:
化简
cos24°cos36°-cos66°cos54°
cos58°sin37°+sin122°sin53°
cos(π/3+θ)+cos(π/3-θ)
cos(α-β)cos(α+β)+sin(α-β)sin(α+β)
答
cos24°cos36°-cos66°cos54°=cos24°cos36°-sin24sin36=cos(24+36)=cos60=1/2cos58°sin37°+sin122°sin53°=cos58°sin37°+sin58°cos37=sin(58+37)=1cos(π/3+θ)+cos(π/3-θ)=2*cos[(π/3+θ)+(...