Question

Prove that; cosec²∅-2 = COS2∅ Sin2∅​

Answer 1

Answer:

${ \csc }^{2} \theta - 2 \\ = (1 + { \cot }^{2} \theta) - 2 \\ = { \cot }^{2} \theta - 1 \\ = \frac{ { \cos }^{2} \theta }{ { \sin}^{2} \theta} - 1 \\ \\ = \frac{ { \cos}^{2} \theta - { \sin }^{2} \theta }{ { \sin}^{2} \theta} \\ \\ = \frac{ \cos(2 \theta) }{ { \sin }^{2} \theta } \\ \\ = \cos( 2 \theta) { \csc }^{2} \theta$

Answer 2

Answer:

here you go..............