Question

prove that: 1+cos^2 A/sin^2 A= 2 cosec^2A-1​

Answer 1

Step-by-step explanation:

Given:$\frac{1+cos²A}{sin²A}$

$→\frac{1+1-sin²A}{sin²A}$

$→\frac{2-sin²A}{sin²A}$

$→\frac{2}{sin²A}-\frac{sin²A}{sin²A}$

$⇒\huge\boxed{scosec²A-1}$

→Hence proved←