sin(a+60)+sina=-4/5更号三 求COS a

sin(a+60)+sina=-4/5更号三 求COS a
sin(a+60)+sina=-4/5更号三 求COS a

sin(a+60)+sina=-4/5更号三 求COS a
a=-arctan((1/30)*sqrt(3)*(12+3*sqrt(3))/(-2/5+(3/10)*sqrt(3))) 或 -arctan((1/30)*sqrt(3)*(12-3*sqrt(3))/(-2/5-(3/10)*sqrt(3)))-Pi
答案：-2/5+(3/10)*sqrt(3) 或 -2/5-(3/10)*sqrt(3)
sin(a+60)+sina=-4/5拆开,移项左侧为sina,右侧为cosa的式子,两边平方,应用sina^2=1-cosa^2 得到cosa的二次方程,

用两角和和差的正弦公式
用含cosA的式子代出sinA
再用cos2A+sin2A=1得到关于cosA的方程算出cosA

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