化简cos(π/12-α)-根号3cos(5π/12+α)

lxd7187 1年前 已收到2个回答 举报

aqjk0_f_3wk491b 幼苗

共回答了23个问题采纳率:87% 举报

cos(π/12-α)-√3cos(5π/12+α)
=2[(1/2)cos(π/12-α)-(√3/2)sin(π/12-α)] (∵cos(5π/12+α)=sin[π/2-(5π/12+α)]=sin(π/12-α))
=2sin[π/6-(π/12-α)]
=2sin(π/12+α)

1年前

6

oo闻风而动 幼苗

共回答了2个问题 举报

答案是:2sin((π+α)/12)

1年前

2
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