Perpendiculars are drawn from the angles `A, B and C` of an acute-angled triangle onthe opposite sides, and produced to meet the circumscribing circle. If these produced parts are `alpha., beta, gamma,` respectively, then show that, then show that `a/alpha+b/beta+c/gamma=2(tanA+tanB+tanC).`

Perpendiculars are drawn from the angles A,B and C of an acute-angled triangle onthe opposite sides,and produced to meet the circumscribing circle.If these produced parts are alpha.,beta,gamma, respectively,then show that, then show that then show that (a)/(alpha)+(b)/(beta)+(c)/(gamma)=2(tan A+tan B+tan C)

perpendiculars are drawn from the angles A , Ba n dC of an acute-angled triangle on the opposite sides, and produced to meet the circumscribing circle. If these produced parts are alpha,beta,gamma , respectively, then show that a/alpha+b/beta+c/gamma=2(tanA+tanB+t a nC)dot

Perpendiculars are drawn from the anglesA, B,C,of an acute angles Delta on the opposite sodes and products to meet the circumscribing circle. If these produced parts be propto,beta,gamma respectively, show that (a)/prop+(b)/beta+(c)/gamma=2(tanA+tanB+tanC

If a line makes angles alpha,beta and gamma with the positive direction of axes then show that, sin^2alpha+sin^2 beta sin^2 gamma=2

If alpha, beta, gamma are positive acute angles, prove that sin alpha+sin beta+ sin gamma gt sin (alpha+ beta+ gamma)

If alpha,beta,gamma are acute angle such that cos alpha=tan beta,cos beta=tan gamma and cos gamma=tan alpha then

If direction angles of a line are alpha, beta, gamma such that alpha+beta=90^(@) , then (cos alpha+cos beta+cos gamma)^(2)=

A line makes angles alpha, beta, gamma with X, Y, Z axes respectively. If alpha=beta and gamma=45^(@) , then alpha+beta+gamma=

If a right angle be divided into three parts alpha, beta and gamma , prove that cot alpha = (tan beta + tan gamma)/(1-tan beta tan gamma) .