Question

cosec^2 48 - tan^2 52​

Answer 1

${ \csc(48) }^{2} - { \tan(52) }^{2}$

$= { \csc(48) }^{2} - { \tan(90 - 48) }^{2}$

$= { \csc(48) }^{2} - { \cot(48) }^{2}$

(Since tan(90-x)=cot x)

$= 1$

(Since cosec^2 x- cot^2 x= 1)