[" If "alpha=cos^(-1)((3)/(5)),beta=tan^(-1)((1)/(3))" where "],[0

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 alpha=tan^(-1)(tan(5 pi)/(4)) and beta=tan^(-1)(-tan(2 pi)/(3)), then 4 alpha=3 beta(b)3 alpha=4 beta(c)alpha-beta=74 alpha=(3 beta)/(12) none of these

tan alpha=(1)/(7),tan beta=(1)/(3), then cos2 alpha=

Evaluate tan^(-1)((3sin 2alpha)/(5+3cos2alpha)) +tan^(-1)((1)/(4)tan alpha) , where, -(pi)/(2) lt alpha lt (pi)/(2) .

If alpha=sin^(-1)(cos(sin^(-1)x)) and beta=cos^(-1)(sin(cos^(-1)x)) then find tan alpha.tan beta

If Tan^(-1)(1//7)=alpha,Tan^(-1)(1//3)=beta" then "cos2alpha=

Let alpha, beta are the roots of the equation x^(2)+7x+k(k-3)=0 , where k in (0, 3) and k is a constant. Then the value of tan^(-1)alpha+tan^(-1)beta+"tan"^(-1)(1)/(alpha)+"tan"^(-1)(1)/(beta) is :

Let alpha, beta are the roots of the equation x^(2)+7x+k(k-3)=0 , where k in (0, 3) and k is a constant. Then the value of tan^(-1)alpha+tan^(-1)beta+"tan"^(-1)(1)/(alpha)+"tan"^(-1)(1)/(beta) is :

If tan alpha=(1)/(7), tan beta=(1)/(3), then cos 2 alpha is equal to

The maximum possible integral value of (beta-alpha)/(tan^(-1)beta - tan^(-1)alpha , where 0lt alpha lt beta lt sqrt3 , is