Question

prove that (sec^2 A -1) (1 - cosec^2 A) = 1

Answer 1

hey mate.....
here's your answer
$given \: that \: \\ = {( \sec(a) }^{2} - 1)( 1 - { \csc(a) }^{2} ) \: \\ now \: using \: the \: identity \\ = \tan(a) \cot(a) \\ = 1$
used identifies
tan^2 a +1 = sec^2 a
and cot^2 a +1 = coses^2 a

HOPE THIS HELP YOU ☺☺