If `sin^3theta+sinthetacos^2theta=1,t h e ntheta` is equal to `(n in Z)` (a) `2npi` (b) `2npi+pi/2` (c) `2npi-pi/2` (d) `npi`

If t a ntheta+s e ctheta=sqrt(3),\ 0

The value(s) of theta , which satisfy 3-2\ costheta-4sintheta-cos2theta+sin2theta=0 is/are theta=2npi; n in I (b) 2npi+pi/2; n in I 2npi-pi/2; n in I (d) npi: n in I

The general solution of the equation tan2theta* tantheta = 1 for n in I, theta is equal to (i) (2n+1)pi/4 (ii)npi+-pi/6 (iii)(2n+1)pi/2 (iv) (2n+1)pi/3

If 1/6sintheta,costheta\ "and" \ tantheta are in G.P. then the general solution for theta is (a) 2npi+-pi/3 (b) 2npi+-pi/6 npi+-pi/3 (d) none of these

If sintheta= - 1/2 and tan theta = 1/sqrt(3) then the most general values of theta equal to (A) 2npi+pi/6 (B) 2npi=(5pi)/6 (C) 2npi+(7pi)/6 (D) none of these

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)

If int_(-3 pi)^(3 pi)sin^(2)theta sin^(2)(2 theta)d theta is equal to (k pi)/(4), then value of k is

If int_(-3 pi)^(3 pi)sin^(2)theta sin^(2)(2 theta)d theta is equal to (k pi)/(4), then value of k is

The sum of all the solutions of cot theta=sin2 theta(theta!=n pi,n integer) 0<=theta<=pi, is (a) (3 pi)/(2) (b) pi (c) 3(pi)/(4) (d) 2 pi