tan 15 ° tan 30 ° tan 45° tan 60 ° tan 75 °
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By using tan(900−x)=cot(x)
Observe that tan750=tan(900−150)=cot(150)
And tan600=tan(900−300)=cot(300)
So we have
tan150⋅tan300⋅tan450⋅cot300⋅cot150=tan450=1
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