tannl5° tan25° tan30° tan45° tan65° tan85°
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To find :
Tan5° x tan25° x tan30° x tan45° x tan65° x tan85°
=> Tan5° x tan25° x tan30° x tan45° x tan65° x tan85°
=cot85° x cot65° x tan30° x tan45° x tan65° x tan85°
= [tan(90-θ)=cotθ,cot(90-θ)=tanθ]
= 1 x 1 x tan30° x tan45° [cotθ x tanθ=1]
=(1/√3) x 1
=1/√3
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