已知cos(π/6-α)=√3/3 求cos[(5π/6)+α]-sin^2(α-π/6)的值
人气:454 ℃ 时间:2020-03-27 20:09:32
解答
cos(5/6*π+a)
=-cos[π-(5/6*π+a)]
=-cos[π/6-a]
-[sin(a-π/6)]^2=[cos(a-π/6)]^2-1
cos(π/6-a)=cos(a-π/6)
所以
cos(5/6π+a)-[sin(a-π/6)]^2
= -√3/3+1/3-1
= -(2+√3)/3
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