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 sqrt(5-12 i)+sqrt(-5-12 i)=z , then principal value of a rgz can be

If both roots of quadratic equation x^2+(sintheta+costheta)x+3/8=0 are positive and distinct then complete set of value of theta in [0,2pi] is (1) (pi/(12),(5pi)/(12)) (2) ((13pi)/(12),(17pi)/(12)) (3)((7pi)/(12),(11pi)/(12)) (4) ((19pi)/(12),(23pi)/(12))

The principal value of arg (z) , where z=1+cos((8pi)/5)+i sin((8pi)/5) (where, i=sqrt-1) is given by

Find the principal values of the following : (i) sin^(-1)(sin.(5pi)/(3)) (ii) cos^(-1)cos((4pi)/(3)) (iii) cos [(pi)/(3) + cos^(-1) (-(1)/(2))]

Prove that: 15sin(5pi)/(12)+15cos(5pi)/(12)-20sin^3(5pi)/(12)-20cos(5pi)/(12)=0

The principal value of sin^(-1)(sin((2pi)/3)) is (a) -(2pi)/3 (b) (2pi)/3 (c) (4pi)/3 (d) (5pi)/3 (e) none of these

Evaluate : cos ^(2) ""(pi)/(12) - sin ^(2) ""(pi)/(12)

Evaluate : tan ""(pi )/(12) .tan ""( pi )/(16) .tan ""(5pi )/(12) .tan ""( 7pi )/(16)

The argument of (1-i)/(1+i) is a. -pi/2 b. pi/2 c. (3pi)/2 d. (5pi)/2

Find the principal value of each of the following: sin^(-1)((sqrt(3)+1)/(2sqrt(2))) (ii) sin^(-1)(cos(pi/4)) (iii) sin^(-1)(tan((5pi)/4))