Question

How do you verify 1−tan2x=2−sec2x?

Answer 1

By properties of trigonometry we know

$1 + tan ^{2} x = sec ^{2} x$

The question can be rearranged as

$2 - (1 + tan ^{2} x)$

Which is equal to

$2 - sec ^{2} x$

Hope this helped