Answer :

Consider tan 5° tan 25° tan 30° tan 65° tan 85°


= tan 5° tan 85° tan 25° tan 65° tan 30°


= tan 5° tan (90 – 5)° tan 25° tan (90 – 25)° tan 30°


= (tan 5° cot 5°) (tan 25° cot 25°) tan 30°


= (1) × (1) × (1/√3)


= 1/√3

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