please show steps/working thanks Simplify Sin theta (cosec theta - sin theta) to a single trigonometric ratio. Solution sin theta ( cosec theta - sin theta ) cosec theta = 1/ sin theta so we can write sin theta ( 1 / sin theta - sin theta ) = sin theta ( 1 - sin^2 theta / sin theta ) = ( 1- sin^2 theta ) 1 - sin^2 theta = cos^2 theta ( by trigonometric identity ) = cos^2 theta.