Prove that : `[tan^(-1) (-sqrt(3))] = -2/sqrt(3)`

tan^(-1) (1/(sqrt3))

tan^(-1)((1)/(sqrt(3)))

tan^(-1)(sqrt3)-cot^(-1)(-sqrt3)

Prove that: i) tan^(-1)(sqrt(x)+sqrt(y))/(1-sqrt(xy))=tan^(-1)sqrt(x)+tan^(-1)sqrt(y) ii) tan^(-1)(x+sqrt(x))/(1-x^(3//2))=tan^(-1)x+tan^(-1)sqrt(x) iii) tan^(-1)(sinx)/(1+cosx)=x/2

Prove that: tan142(1^(@))/(2)=2+sqrt(2)-sqrt(3)-sqrt(6)

tan^(2)x-(1+sqrt(3))tan x+sqrt(3)<0

Prove that: sin15^(@)=(sqrt(3)-1)/(2sqrt(2))

Prove that: sin15^(@)=(sqrt(3)-1)/(2sqrt(2))

Prove that 3tan^(-1)((1)/(2+sqrt(3)))-tan^(-1)((1)/(2))=tan^(-1)((1)/(3))

Prove that ,tan7(1)/(2)@=(sqrt(4-sqrt(6)-sqrt(2)))/(sqrt(3)*sqrt(2)+sqrt(6)-4)