Question

Tan square theta - sec square theta =1 is true or false

Answer 1

statement is false not true.

Answer 2

Sec should be positive and tan negetive, as the identity says,

$sec {}^{2} \alpha = 1 + tan { }^{2} \alpha$
if we shift tan to the RHS

we get ,

$\sec{}^{2} \alpha - \tan {}^{2} { \alpha = 1}$