If `5 tan A = sqrt(7)`, where `pi < A < (3pi)/2` and `sec B = sqrt(11)`, where `(3pi)/2 < B < 2 pi`, then find the value of `cosec A-tan B`.

Prove that tan^(-1) ((1-sqrt(x))/(1+sqrt(x))) = pi/4 - tan^(-1) sqrt(x) , "where" x gt 0

If sin x+cos x=(sqrt(7))/(2) where x in[0,(pi)/(4)] then tan((x)/(2)) is equal to

If sinx +cosx=(sqrt7)/(2) , where x in [0, (pi)/(4)], then the value of tan.(x)/(2) is equal to

If sinx +cosx=(sqrt7)/(2) , where x in [0, (pi)/(4)], then the value of tan.(x)/(2) is equal to

If 3 cot A =-6, sec B =-2 sqrt10, where pi /2 lt A lt pi , pi lt B lt (3pi)/(2), then cosec A- tan B is equal to ................... A) 1 B) -1 C) sqrt5-sqrt39 D) sqrt5+sqrt39

If sinx+cosx=sqrt7/2 where x in[0,pi/4] then tan(x/2) is equal to

If z=sqrt(3)-2+i , then principal value of argument z is (where i=sqrt(-1) (1) -(5pi)/(12) (2) pi/(12) (3) (7pi)/(12) (4) (5pi)/(12)

If z=sqrt(3)-2+i, then principal value of argument z is (where i=sqrt(-1)-(5 pi)/(12)(2)(pi)/(12) (3) (7 pi)/(12) (4) (5 pi)/(12)

Find the absolute value of (tanAtan2A)+(tan2A tan4A)+(tan4A tanA) where A=(2pi)/7 .