`alpha=pi/4020` and `beta=2009/4020pi` and `int_alpha^beta dx/(1+tanx)=(kpi)/8040`, then `k` is equal to …..

int _(alpha)^(beta) sqrt((x-alpha)/(beta -x)) dx is equal to

If 0

" If cos(alpha+beta)=(3)/(5) sin(alpha-beta)=(5)/(13) and 0< alpha, beta < (pi)/(4) then tan(2 alpha) is equal to

If tan alpha=(1)/(7) and sin beta=(1)/(sqrt(10)), where 0

If alpha+beta=(pi)/(2) and beta+gamma=alpha then tan alpha=

If alpha and beta be between 0 and (pi)/(2)and if cos(alpha+beta)=(12)/(13) and sin(alpha-beta)=3/5, then sin 2 alpha is equal to

If alpha+beta=(pi)/(2) and beta+gamma=alpha then tan alpha equals

If alpha+beta=(pi)/(2) and beta+gamma=alpha, then tan alpha equals

If alpha+beta=(pi)/(2) and beta+gamma=alpha then tan a equals-