The value of `(alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec^2(1/2tan^(-1)(beta/alpha))i s equal to`

If cosx-sinalphacotbetasinx=cosa , then the value of tan(x/2) is -tan(alpha/2)cot(beta/2) (b) tan(alpha/2)tan(beta/2) -cot((alphabeta)/2)tan(beta/2) (d) cot(alpha/2)cot(beta/2)

If alpha and beta are the roots of the equation 3x^(2) - 5x + 2 = 0 , find the value of (i) (alpha)/(beta) + (beta)/(alpha) (ii) alpha-beta (iii) (alpha^(2))/(beta) + (beta^(2))/(alpha)

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

If alpha+beta+gamma=2pi, then (a) tan(alpha/2)+tan(beta/2)+tan(gamma/2)=tan(alpha/2)tan(beta/2)tan(gamma/2) (b) tan(alpha/2)tan(beta/2)+tan(beta/2)tan(gamma/2)+tan(gamma/2)tan(alpha/2)=1 (c) tan(alpha/2)+tan(beta/2)+tan(gamma/2)=-tan(alpha/2)tan(beta/2)tan(gamma/2) (d)none of these

If alpha and beta are the roots of x^2 - p (x+1) - c = 0 , then the value of (alpha^2 + 2alpha+1)/(alpha^2 +2 alpha + c) + (beta^2 + 2beta + 1)/(beta^2 + 2beta + c)

If alpha and beta are the roots of the equation x^(2) -1 =0 " then " (2alpha)/(beta ) + (2 beta)/(alpha) is equal to ..........

If sec alpha is the average of sec(alpha - 2beta) and sec(alpha + 2beta) then the value of (2 sin^2 beta - sin^2 alpha ) where beta!= n pi is

IF cos ( alpha + beta ) =0 then sin ( alpha + 2 beta ) is equal to

Prove that (cos alpha+cos beta)^(2)+(sin alpha -sin beta)^(2)=4 cos^(2) ((alpha+beta)/(2))

Minimum value of (sec^4alpha)/(tan^2beta)+(sec^4beta)/(tan^2alpha), where alpha!=pi/2,beta!=pi/2 ,0