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Show that: tan 48° tan 23° tan 42° tan 67° = 1 jsshudhwuhujwnijsdiw
Dear Studenttan 48° tan 23° tan 42° tan 67°Simplify the given problemby converting some of the tan functions to the cot functionsWe know that,tan 48° = tan (90° - 42°)= cot 42°tan 23° = tan (90° - 67°)= cot 67°= tan (90° - 42°) tan (90° - 67°) tan 42° tan 67°Substitute the values= cot 42° cot 67° tan 42° tan 67°= (cot 42° tan 42°) (cot 67° tan 67°)= 1×1= 1Thanks
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