Trigonometric ratios of any angle and associated angles

Prove that, the value of ((sin^3 (2 pi – theta))/(cos^2 ((3/2) pi + theta))).((cos^3 (2 pi – theta))/(sin^3 (2 pi + theta))).((tan (pi – theta))/(cosec^2 (pi – theta))).((sec^2 (pi + theta))/(sin theta)) is independent of theta. https://youtu.be/gVWFLHTXOsY

Problem 6. Section IV. Class XI SN Dey https://youtu.be/gVWFLHTXOsY