Question

prove the equation:


$\frac{cos^2\alpha - sin^2\alpha}{cosec^2\alpha -cot^2\alpha } = 1$


Please solve this equation

----------------

Answer 1

Please check your question! There might be a mistake in above Equation!

Answer 2

$LHS: \frac{cos^2\alpha - sin^2\alpha}{cosec^2\alpha -cot^2\alpha } \\\\= \frac{-(sin^2\alpha - cos^2\alpha)}{-(cot^2\alpha -cosec^2\alpha) } \\\\= \frac{(sin^2\alpha - cos^2\alpha)}{(cot^2\alpha -cosec^2\alpha) } \\\\\\=\frac{1}{1} \\\\=1\\\\proved$