If ` 2 tan beta + cot beta` =` tan alpha`, prove that` 2 tan (alpha-beta)` = `cot beta`

Using geometry prove that tan (90- theta) = cot theta .

If tantheta+ cot theta = 2 , then prove that tan^10theta + cot^10 theta =2

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

Find cot^2 theta - cot^2 alpha . .

If alpha and beta are the solution of the equation a tan theta +b sec theta=c ,then show that tan(alpha+beta)=2ac/(a^2-c^2)

In a ∆ ABC prove that tan( (A+B)/2) = cot( C/2) .

If tan alpha=m/(m+1) and tan beta=1/(2m+1) ,prove that alpha+beta=pi/4 .

If tanbeta=(nsinalphacosalpha)/(1-nsin^2alpha) ,show that tan(alpha-beta)=(1-n)tanalpha

Prove that |(alpha, beta, gamma),(alpha^(2), beta^(2), gamma^(2)),(beta+gamma , gamma + alpha, alpha + beta)| = (alpha-beta)(beta-gamma)(gamma-alpha)(alpha + beta + gamma) .

If alpha,beta are the zeroes of f(x)=2x^2+6x-6 ,then a) alpha+beta+alpha beta=0 b) alpha+beta=alpha beta c) alpha+betagtalpha beta d) alpha+betaltalpha beta