计算tan(15°-α)tan(380°+α)tan(75°+α)tan(290°+α)=求在线详解

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计算tan(15°-α)tan(380°+α)tan(75°+α)tan(290°+α)=求在线详解
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计算tan(15°-α)tan(380°+α)tan(75°+α)tan(290°+α)=求在线详解
计算tan(15°-α)tan(380°+α)tan(75°+α)tan(290°+α)=
求在线详解

计算tan(15°-α)tan(380°+α)tan(75°+α)tan(290°+α)=求在线详解
根据诱导公式,得
tan(15°-α)tan(380°+α)tan(75°+α)tan(290°+α)
=tan(15°-α)tan(20°+α)tan(75°+α)cot(20°+α)
=tan(15°-α)tan(20°+α)cot(15°-α)cot(20°+α)
=tan(15°-α)cot(15°-α)tan(20°+α)cot(20°+α)
=1x1
=1
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