state that
tan48° tan23° tan42° tan67° = 1
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Given: tan48° tan23° tan42° tan67°
=>tan(90-42)° tan42° tan(90-67)° tan67°
=>cot42° tan42° cot67° tan67°
=> 1/tan42° tan42° 1/tan67° tan67°
=> 1 ( everything cancel each other )
Hence proved.
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