" (i) "tan^(-1)(2 alpha-b)/(b sqrt(3))+tan^(-1)(2b-a)/(a sqrt(3))=(pi)/(3)

Prove the following "tan"^(-1)(2a-b)/(bsqrt(3))+"tan"^(-1)(2b-a)/(asqrt(3))=pi/(3)

Prove that : tan^(-1)( (2a-b)/(bsqrt(3))) +tan^(-1)((2b-a)/(asqrt(3))) = pi/3

Prove that : tan^(-1)( (2a-b)/(bsqrt(3))) +tan^(-1)((2b-a)/(asqrt(3))) = pi/3

Prove the "tan"^(-1)(2a-b)/(bsqrt3) +"tan"^(-1) (2b-a)/(asqrt3) =pi/3

The value of tan^(-1)((sqrt(3))/(2))+tan^(-1)((1)/(sqrt(3))) is equal to a) tan^(-1)((5)/(sqrt(3))) b) tan^(-1)((2)/(sqrt(3))) c) tan^(-1)((1)/(2)) d) tan^(-1)((1)/(3sqrt(3)))

Evaluate: tan^(- 1)(-1/(sqrt(3)))+tan^(- 1)(-sqrt(3))+tan^(- 1)(sin(-pi/2))

If alpha=tan^(-1)((sqrt(3)x)/(2y-x)) , beta=tan^(-1)((2x-y)/(sqrt(3)y)) , then alpha-beta= pi/6 (b) pi/3 (c) pi/2 (d) -pi/3

If alpha=tan^(-1)((sqrt(3)x)/(2y-x)) , beta=tan^(-1)((2x-y)/(sqrt(3)y)) , then alpha-beta= (a) pi/6 (b) pi/3 (c) pi/2 (d) -pi/3

What is the value of (tan 9^(@) tan 23^(@) tan 60^(@) tan67^(@) tan 81^(@))/("cosec"^(2)72^(@)+cos^(2)15^(@)-tan^(2)18^(@)+cos^(2)75^(@))? (a) (1)/(2 sqrt(3)) (b) (sqrt(3))/(2) (c) (1)/(sqrt(3)) (d) 2 sqrt(3)