Answer :

Taking LHS

= tan 15° tan 25° tan 60° tan 65° tan 75°


=cot(90° - 15°) tan (90° - 25°) tan 60° tan 65° tan 75° [ tan θ = cot (90° - θ)]


=cot 75° cot 65° tan 60° tan 65° tan 75°



= tan 60° [ tan 60° =3]


=√3 =RHS


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