【 cos(a-15°)+cos(a+45°)】 - 根号3*cos(a+15°)
=2*cos{[(a-15°)+(a+45°)]/2} *cos{[(a-15°)-(a+45°)]/2} - 根号3*cos(a+15°)
=2*cos(a+15°)cos(-30°) - 根号3*cos(a+15°)
=2*cos(a+15°)cos30° - 根号3*cos(a+15°)
=根号3*cos(a+15°) - 根号3*cos(a+15°)
=0
【问题补充:】
f(x)=sinx+cosx=根号2*(sinxcosπ/4+cosxsinπ/4)=根号2*sin(x+π/4)
π/2<x1+π/4<x2+π/4<3π/4
f(x1)> f(x2)