find thereal value of Θ for which 1+isinΘ/(1-2icosΘ) is real Share with your friends Share 0 Garima Singhal answered this 1+sinθ1-2icosθ1+sinθ1-2icosθ×1+2icosθ1+2icosθ1+2icosθ+sinθ+2icosθsinθ1+4cos2θ1+sinθ1+4cos2θ+2cosθ+2cosθsinθ1+4cos2θiIt is purely real when 2cosθ+2cosθsinθ1+4cos2θ is 02cosθ+2cosθsinθ1+4cos2θ=02cosθ+2cosθsinθ=02cosθ1+sinθ=0cosθ=0 and sin θ=-1 ⇒ sin θ = sin 3π2⇒θ = 2n+1π2 and θ = nπ + -1n3π2 1 View Full Answer