sinθ= - 1/4

Original formula = [(-cosθ)/cosθ * (cosθ-1)]+[cosθ/(-cosθ)+cosθ)]

=[ 1/( 1+cosθ)]+[ 1/( 1-cosθ)]

=[( 1-cosθ+ 1+cosθ)/( 1+cosθ)( 1-cosθ)]

=[2/( 1-cos^2(θ)]

=2/[sin^2(θ)]

=2/( 1/ 16)

=32