JEE Advance - Mathematics (1978 - No. 20)
Express $${1 \over {1 - \cos \,\theta + 2i\sin \theta }}$$ in the form x + iy.
$${{ rac{1}{5 + 3cos heta}}} + i{{ rac{-2sin heta}{5 + 3cos heta}}}$$
$${{ rac{1}{5 - 3cos heta}}} + i{{ rac{-2sin heta}{5 - 3cos heta}}}$$
$${{ rac{5 + 3cos heta}{1}}} + i{{ rac{-2sin heta}{1}}}$$
$${{ rac{1}{5 + 3cos heta}}} + i{{ rac{-2cot( heta/2)}{5 + 3cos heta}}}$$
$${{ rac{1}{5 + 3cos heta}}} + i{{ rac{2sin heta}{5 + 3cos heta}}}$$