If `A=a/(a+1)a n dtanB=1/(2a+1)` then the value of `A+B` is `0` b. `pi/2` c. `pi/3` d. `pi/4`

If A=(a)/(a+1) andtan B=(1)/(2a+1) then the value of A+B is 0 b.(pi)/(2) c.(pi)/(3) d.(pi)/(4)

If z=(-2)/(1+isqrt(3)) , then the value of "arg"(z) is a. pi b. pi/4 c. pi/3 d. (2pi)/3

If tan theta=(1)/(2) andtan varphi =(1)/(3), then the value of theta+varphi is (pi)/(6) (b) pi(c)0(d)(pi)/(4)

If 4sin^(2)theta=1, then the values of theta are 2n pi+-,nZ b.n pi+-,nZ c.n pi+-,nZ d.2n pi+-(pi)/(6),nZ

The value of int_0^pi1/(5+3cosx)dx is pi//2 b. pi//4 c. 0 d. pi//8

The principal value of the amplitude of (1+i) is pi b.(pi)/(12) c.(pi)/(4) d.(3 pi)/(4)

If lim_(x->0)[1+x1n(1+b^2)]^(1/x)=2bsin^2theta,b >0,where theta in (-pi,pi], then the value of theta is (a)+-pi/4 (b) +-pi/3 (c) +-pi/6 (d) +-pi/2

If tan^(-1)(x^(2)+3|x|-4)+cot^(-1)(4 pi+sin^(-1)sin14)=(pi)/(2), then the value of sin^(-1)sin2x is (a)6-2 pi( b) 2 pi-6( c) pi-3 (d) 3-pi

If sin theta=(1)/(2) and cos theta=-(sqrt(3))/(2), then the general value of theta is (n in Z)*( a) 2n pi+(5 pi)/(6) (b) 2n pi+(pi)/(6)2n pi+(7 pi)/(6)( d) 2n pi+(pi)/(4)

The amplitude of (1)/(i) is equal to 0 b.(pi)/(2) c.-(pi)/(2) d.pi