Principal value of `cot^-1(-1/(sqrt3))` is a)`pi/3` b)`-pi/3` c)`pi/6` d)`2pi/3`

The principal value of tan^-1(-1) is [pi/4,-pi/4,pi-pi/4,pi+pi/4]

The range of tan^(-1)((2x)/(1+x^2)) is a) [-pi/4,pi/4] b) (-pi/2,pi/2) c) (-pi/2,pi/4] d) [pi/4,pi/2]

One of the principal solutions of sqrt(3) sec x=-2 is equal to a) (2pi)/(3) b) (pi)/(6) c) (5pi)/(6) d) (pi)/(3)

Choose the correct answer from the bracket.The angle between the vectors veca and vecb with magnitude 1 and 2 respectively having veca.vecb=sqrt3 a) pi/3 b) pi/4 c) pi/6 d) pi/2

Evaluate the following : cos(cos^(-1)(sqrt3/2)+pi/6)

int_1^sqrt(3) (d x)/(1+x^2) equals a) pi/3 b) (2 pi)/3 c) pi/6 d) pi/(12)

Show that tan^-1((-1)/sqrt3)+sec^-1(-2)-sin^-1(1/2)=pi/3

The value of tan^(-1) (2) + tan^(-1) (3) is equal to a) (3pi)/(4) b) (pi)/(4) c) (pi)/(3) d) tan^(-1) (6)

The perimeter of a triangle ABC is 6 times the arithmetic mean of the sine ratios of its angles. If a =1, then A is equal to : a) pi/6 b) pi/3 c) pi/2 d) (2pi)/(3)