if `cot^-1alpha+cot^-1beta=cot^-1x` then `x`

if cot^(-1)alpha+cot^(-1)beta=cot^(-1)x then x

If: cot^(-1)alpha + cot^(-1)beta = cot^(-1) x , then: x=

If cot^(-1) ( alpha) = cot^(-1)(2) + cot^(-1)(8) + cot^(-1)(18) + cot ^(-1)(32) + "…………" upto 100 terms , then alpha is :

If alpha and beta are the roots of the equation x^2 + 5x-49=0 , then find the value of cot(cot^-1 alpha + cot^-1 beta) .

If cot^(2) theta= cot (theta-alpha) cot( theta- beta) , prove that cot alpha+ cot beta=2 cot 2 theta

Let alpha=som^(-1)((36)/(85)),beta=cos^(-1)((4)/(5)) and gamma=tan^(-1)((8)/(15)) then cot alpha+cot beta+cot gamma=cot alpha cot beta cot gammatan alpha tan beta+tan beta tan gamma+tan alpha tan gamma=1tan alpha+tan beta+tan gamma=tan alpha tan beta tan gammacot alpha cot beta+cot beta cot gamma+cot alpha cot gamma=1

If tan alpha - tan beta =m and cot alpha - cot beta =n , then prove that cot ( alpha - beta )= (1)/(m)- (1)/(n)

If cot alpha cot beta=2 show that (cos(alpha+beta))/(cos(alpha-beta))=1/3