sin^2a+cos^2(a+30)+sinacoa(a+30)=3⼀4

2024-12-31 15:43:44
推荐回答(1个)
回答1:

左边=(1-cos2α)/2+(1+cos(2α+π/3))/2+sinαcos(α+π/6)
=1+1/2[cos(2α+π/3)-cos2α]+1/2[sin(2α+π/6)-1/2]
=3/4-1/2cos2α+1/2[sin(2α+π/6)-sin(2α-π/6)]
=3/4-1/2cos2α+1/2[2cos2αsinπ/6]
=3/4
=右边