Find `cos(alpha+beta)` if `tan(alpha/2)` and `tan (beta/2)` are roots of the equiation `8x^2-26x+15=0`

If tan(alpha/2) and tan(beta/2) are the roots of the equation 8x^2-26x+15=0 then cos(alpha+beta) is equal to

Find the value of x such that ((x+alpha)^n-(x+beta)^n)/(alpha-beta)=(sin (ntheta))/(sin^n theta) , where alpha and beta are the roots of the equation t^2-2t+2=0 .

If tan 2alpha = cot 2beta , then sec(alpha + beta) =

IF alpha and beta are the roots of the equation x(x-3)=4, find the value of alpha^2+beta^2 .

tan (alpha + beta) =1/2, tan(alpha - beta) = 1/3 "then the value of" tan^(2) alpha is-

If alpha and beta are roots of the equation a x^2+b x+c=0, then the roots of the equation a(2x+1)^2-b(2x+1)(x-3)+c(x-3)^2=0 are a. (2alpha+1)/(alpha-3),(2beta+1)/(beta-3) b. (3alpha+1)/(alpha-2),(3beta+1)/(beta-2) c. (2alpha-1)/(alpha-2),(2beta+1)/(beta-2) d. none of these

Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic equation x^2-p x+1=0. a n dalpha^2,beta are the roots of quadratic equation x^2-q x+8=0, then find p ,q,alpha,betadot

If sin(alpha + beta) = 4/5 and sin (alpha - beta)= 5/13 , find the value of tan 2 alpha .

If tan theta = ( tan alpha + tan beta)/(1 + tan alpha tan beta),"show that " sin 2 theta =(sin 2 alpha + sin 2 beta)/(1+sin 2 alpha sin 2 beta)

If tanalpha and tanbeta be the roots of the equation (x^2+px+q=0) then the value of the expression sin^2(alpha+beta)+p sin(alpha+beta)cos(alpha+beta)+qcos^2(alpha+beta) is