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Show that :-tan48°tan23°tan42°tan67°=1 |
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Answer» tan48°×tan23°×tan42°×tan67°=1L.H.S.=>tan(90°-48°)×tan(90°-23°) ×tan42°×tan67°=> 1/tan42°× 1/tan67°× tan42°× tan67°=> 1=1 HENCE PROVEDHOPE IT WILL HELP YOU.... Hii Haj tan 48° tan 23° tan 42° tan 67° = tan (90° - 42°) tan (90° - 67°) tan 42° tan 67° = cot 42° cot 67° tan 42° tan 67° = (cot 42° tan 42°) (cot 67° tan 67°)= 1×1= 1 |
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