A value of `theta` for which `(2+3i sin theta)/(1-2i sintheta)` purely imaginary, is

Find real value of theta for which (3+2i sin theta)/(1-2i sin theta) is purely real.

The real vaule of theta for which the expression (1+icostheta)/(1-2icos theta) is a purely imaginary number is

Let A={theta in (-pi /2,pi):(3+2i sin theta )/(1-2 i sin theta ) is purely imaginary } Then the sum of the elements in A is

Find real theta such that (3+2i\ sintheta)/(1-2i\ sintheta) is purely real.

Find the real values of theta for which the complex number (1+i costheta)/(1-2i costheta) is purely real.

The real value of theta for which the expression (1 + icos theta)/(1 - 2i cos theta) is real number is

Find the theta such that (3+2i sin theta)/(1-2 isin theta) is (a) real

Find the values of theta , for which cos3theta + sin3theta + (2sin2theta-3)(sintheta-costheta) is always positive.

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

Consider the complex number z = (1 - isin theta)//(1+ icos theta) . The value of theta for which z is purely imaginary are