Prove that: cosec^2 45^ - ^2 45^ = 1 - Vidyadip

Question

Prove that:
$\operatorname{cosec}^2 45^\circ - \cot^2 45^\circ = 1$

✓

Answer

$\text{LHS}= \operatorname{cosec}^2 45^\circ$
$=(\sqrt{2})^2-1^2$
$=2-1$
$=1$
$=\text{RHS}$

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