Question

prove that
cosec²45° - cot²45° = 1​

Answer 1

$\boxed{\boxed{\boxed{\huge{\mathfrak{Answer}}}}}$

cosec45° = $\sqrt{2}$

cot45° = 1

LHS = $({ \sqrt{2} })^{2} - {1}^{2}$

= 2 – 1

= 1

RHS = 1

Hence,

LHS = RHS

$\boxed {cosec²45° + cot²45° = 1}$

$\mathcal{\blue{Hence\: Proved}}$