" 14."tan^(-1)(1-x)/(1+x)=(1)/(2)tan y=cosec^(1)x

2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)

If xy=1+a^(2) then show that tan^(-1)((1)/(a+x))+tan^(-1)((1)/(a+y))=tan^(-1)((1)/(a)),x+y+2a!=0

Solve the equation 2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)

Solve the equation 2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)

Solve the equation 2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)

2 tan ^(-1) (Cos x) = tan ^(-1) (2 "cosec"x)

If: 2.tan^(-1)(cos x) = tan^(-1)(cosec^(2)x) , then: x=

Number of values of x satisfying simultaneously sin^(-1) x = 2 tan^(-1) x " and " tan^(-1) sqrt(x(x-1)) + cosec^(-1) sqrt(1 + x - x^(2)) = pi/2 , is