If `tan^2alpha-2tan^2beta=1` then which of the following options is correct?

If tan alpha=3 and tan beta=(1)/(2) , then which of the following is true ?

Let alpha and beta be nonzero real numbers such that 2(cosbeta?cosalpha)+cosalpha cosbeta =1 . Then which of the following is/are true? (a) sqrt 3 tan(alpha/2)+tan(beta/2)=0 (b) sqrt3 tan(alpha/2)?tan(beta/2)=0 (c) tan(alpha/2)+sqrt3tan(beta/2)=0 (d) tan(alpha/2)?sqrt 3tan(beta/2)=0

If 2tan alpha=3tan beta then tan(alpha-beta)=

If tan^2alpha = 1 + tan^2beta ,then prove that cos^2 beta = cot^2alpha

If tan^(2)alpha=2tan^(2)beta+1 , evaluate : cos 2alpha+sin^(2)beta.

If tan^2 alpha tan^2 beta + tan^2 beta tan^2 gamma + tan^2 gamma tan^2 alpha + 2 tan^2 alpha tan^2 beta tan^2 gamma = 1 then sin^2 alpha + sin^2 beta + sin^2 gamma =

If tan^2 alpha tan^2 beta + tan^2 beta tan^2 gamma + tan^2 gamma tan^2 alpha + 2 tan^2 alpha tan^2 beta tan^2 gamma = 1 then sin^2 alpha + sin^2 beta + sin^2 gamma =

If tan theta=(tan alpha+tan beta)/(1+tan alpha tan beta) then show that sin2 theta=(sin2 alpha+sin2 beta)/(1+sin2 alpha sin2 beta)

If n tan alpha=(n+1)tan beta then show that tan(alpha-beta)=(sin2 beta)/(2n+1-cos2 beta)

If tan alpha, tan beta, tan lambda are the roots of the equation x^(3) - px^(2) - r = 0 then the value of (1+tan^(2) alpha) (1+tan^(2) beta)(1+tan^(2)lambda) =