tan15° tan25° tan60°tan65°tan75°=√3
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Step-by-step explanation:
LHS => tan 15° tan 75° tan 25° tan 65° tan 60°
=> tan (90°-75°) tan 75° tan (90° - 65°) tan 65° tan 60°
=> cot 75° tan 75° cot 65° tan 65° tan 60°
=> 1/tan 75° tan 75° 1/tan 65° tan 65° tan 60°
=> 1*1*√3 => √3 => RHS
LHS = RHS hence proved
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