若sin(π⼀6-α)=1⼀3 求cos(2π⼀3+2α)的值(用公式2cos눀α)

若sin(π/6-α)=1/3 求cos(2π/3+2α)的值(用公式2cos눀α)
2024-11-24 16:03:34
推荐回答(3个)
回答1:


如图所示

回答2:

sin(π/6 - α)=sin(π/2 - π/3 - α)
=sin[π/2 - (π/3 + α)]=cos(π/3 + α)=1/3
则cos(2π/3 + 2α)=cos[2(π/3 + α)]
=2cos²(π/3 + α) - 1
=2•(1/3)² - 1
=2/9 - 1=-7/9

回答3:


这样的看看行不行