`(alpha)/(beta)`+`(beta)/(alpha)`

If alpha!=beta but alpha^(2)=5 alpha-3,beta^(2)=5 beta-3, then find the equation whose roots are (alpha)/(beta) and (beta)/(alpha)

If alpha1=beta but alpha^(2)=2 alpha-3;beta^(2)=2 beta-3 then the equation whose roots are (alpha)/(beta) and (beta)/(alpha) is

If alpha != beta but, alpha^(2) = 4alpha - 2 and beta^(2) = 4beta - 2 then the quadratic equation with roots (alpha)/(beta) and (beta)/(alpha) is

Show by using mean value theorem and taking f(x)=log x, that 1-(alpha)/(beta)

If alpha,beta are non-real roots of ax^(2)+bx+c=0,(a,b,c in R), then (A)alpha beta=1(B)alpha=beta(C)(a beta)/(alpha beta)=1(D)alpha=bar(beta)

csc^(2)(alpha+beta)-sin^(2)(beta-alpha)+sin^(2)(2 alpha-beta)=cos^(2)(alpha-beta) where alpha,beta in(0,(pi)/(2)), then sin(alpha-beta) is equals

(without alpha + without beta-sin (alpha + beta)) / (without alpha + without beta + sin (alpha + beta)) = tan ((alpha) / (2)) tan ((beta) / (2))

If alpha!=beta and alpha^(2)=5 alpha-3 and beta^(2)=5 beta-3. find the equation whose roots are alpha/ beta and beta/ alpha .

The expression (tan alpha+tan beta)cot(alpha+beta)+(tan alpha-tan beta)cot(alpha-beta) is independent of both alpha and beta.