prove that tan20°.tan40°.tan60°.tan80°=3
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tan20*tan40*tan60*tan80 can be written as, 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