Question

Prove that 1+cot²A=cosec²A​

Answer 1

see explanation

Explanation:

Consider the left side

1 + cot²A

= 1 +
`(cos^2A)/(sin^2A)`

=
`(sin^2A+cos^2A)/(sin^2A)`

=
`(1)/(sin^2A)`

= cosec²A

= right side, thus proven