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Show that tan 48° tan 23° tan 42° tan 67° = 1

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Answer:  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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