prove that tan20°.tan40°.tan60°.tan80°=3
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Thvija S 7 years, 6 months ago
tan(20)*tan(60-20)*tan(60+20)*tan(60)
LHS =tan(3×20)*tan(60)
[Using the formula, tan(x)*tan(60-x)*tan(60+x) = tan(3x)]
=tan(60)*tan(60)
=sq.root(3)* sq.root(3)
=3
3Thank You