Question

Proove that
Cosec⁴A - cosec²A is equal to cot⁴A - cot²A

Answer 1

${ \csc }^{4} \alpha - { \csc}^{2} \alpha$

$= { \csc}^{2} \alpha ( { \csc }^{2} \alpha - 1)$

$= (1 + { \cot }^{2} \alpha ) \times { \cot }^{2} \alpha$

$= { \cot}^{2} \alpha + { \cot }^{4} \alpha$

ur question has to be corrected