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化简:cos(15°-α)cos15°-sin(165°+α)•sin(-15°)=.

题目详情
化简:cos(15°-α)cos15°-sin(165°+α)•sin(-15°)=___.化简:cos(15°-α)cos15°-sin(165°+α)•sin(-15°)=___.
▼优质解答
答案和解析
cos(15°-α)cos15°-sin(165°+α)•sin(-15°)
=cos(15°-α)cos15°+sin(15°-α)•sin15°
=cos(15°-α-15°)
=cosα.
故答案为:cosα.