摘要:5.若cos(α+β)=.cos(α-β)=.则tan α·tan β= . 解析:∵cos(α+β)=cos αcos β-sin αsin β=① cos(α-β)=cos αcos β+sin αsin β=② 由①②解得cos αcos β=.sin αsin β=.则tan αtan β==.
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