In a `Delta ABC, GA,GB,GC` makes angles `alpha, beta, gamma` with each other where `G` is the centroid to the `Delta ABC` then show that, `cotA + cotB + cotC + cot alpha + cot beta +cotgamma =0.`

A line makes angles alpha,beta and gamma with the coordinate axes. If alpha+beta=90^0, then find gamma .

If a line makes angles alpha, beta, gamma, delta with the diafonals of a cubes then the value of 9(cos 2alpha + cos 2beta + cos2gamma + cos 2 delta )^(2) equals ….......

If tan beta=2sin alpha sin gamma co sec(alpha+gamma) , then cot alpha,cot beta,cotgamma are in

If G be the centroid of a triangle ABC, prove that, AB^2 + BC^2 + CA^2 = 3(GA^2 + GB^2 + GC^2)

If alpha, beta , gamma, delta are the roots of the equation x^4+x^2+1=0 then the equation whose roots are alpha^2, beta^2, gamma^2, delta^2 is

A train travelling on one of two intersecting railway lines, subtends at a certain station on the other line, an/ angle alpha when the front of the carriage reaches the junction and an angle beta when the end of the carriage reaches it. Then, the two lines are inclined to each other at an angle theta , show that 2 cot theta=cot alpha-cot beta cot alpha + cot beta

A line makes angles alpha,beta,gammaa n ddelta with the diagonals of a cube. Show that cos^2alpha+cos^2beta+cos^2gamma+cos^2delta=4//3.

If tan alpha, tan beta, tan gamma are the roots of equation x^3 - 3ax^2 + 3bx - 1 =0 , find the centroid of the triangle whose vertices are (tan alpha, cot alpha), (tan beta, cot beta) and (tan gamma, cot gamma) .

The equation of the plane which makes with coordinate axes, a triangle with its centroid (alpha, beta , gamma) is

A line makes angles alpha,beta,gamma and delta with the diagonals of a cube, prove that cos^2alpha+cos^2beta+cos^2gamma+cos^2delta=4/3