`tan A + tan(60+A) - tan(60 -A) = 3 tan3A`

Prove that: tan A+tan(60^(@)+A)-tan(60^(@)-A)=3tan3A

Prove that: tanA + tan(60^(@)+A) + tan(120^(@)+A)=3tan3A

Prove that: tan A+tan(60^(@)+A)+tan(120^(@)+A)=3tan3A

Prove that: (i) cos A cos(60^(@)-A)cos (60^(@)+A)=(1)/(4)cos 3A (ii) "tan" A+"tan"(60^(@)+A)-"tan"(60^(@)-A)=3 tan 3A .

(iii) Prove that tan x tan(60-x)tan(60+x)=tan3x

tan x * tan (60 ^ (@) + x) * tan (60 ^ (@)-x) = tan3x

The value of tan 3A -tan 2A -tan A is equal to (A) tan 3A tan 2A tan A (B)-tan 3A tan 2A tan A (C) tan A tan 2A-tan 2A tan 3A-tan 3A tan A (D) none of these

Prove that : (i) "tan"3A-"tan"2A-"tan"A="tan"3A "tan"2A "tan"A (ii) "tan"7A-"tan"5A-"tan"2A="tan"7A "tan"5A "tan"2A (iii) "tan"13 A -"tan" 9A-"tan" 4A ="tan"13 A "tan"9A tan 4A.

tan20 + tan40 + tan60 + ......... + tan180

Using the formula, tan 2A = (2tanA)/(1-tan^2A) , find the value of tan 60^@ , it being given that tan 30^@ =1/sqrt3