cos(a+六分之派)等于负三分之一,则sin(2a加十二分之派)等于多少?

2025-02-23 05:24:44
推荐回答(1个)
回答1:

设u=a+π/6,2a+π/12=2u-π/4,

cosu=-1/3,sinu=土2√2/3,
sin2u=2sinucosu=干4√2/9,
cos2u=2(cosu)^2-1=-7/9,
sin(2a+π/12)=sin(2u-π/4)
=(sin2u-cos2u)/√2
=(7√2干8)/18.