Question

Prove that sin²a + cos²a = 1 and =
`(1)/(cos^(2)a )` + tan²a (a not alpha)

Answer 1

`(1)/(cos^2a )= tan^2 a`

Explanation:

Explanation:-

Given sin²a + cos²a = 1

and

`(1)/(cos^(2) a) \\= (sin^2a+cos^2a)/(cos^2a) \\ \\\\ = (sin^2a)/(cos^2a) +(cos^2a)/(cos^2a)`

= tan²a + 1