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

asked Jan 6, 2021 161k views

4 votes

Prove that sin²a + cos²a = 1 and =
(1)/(cos^(2)a )

+ tan²a (a not alpha)

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2 votes

Answer:

(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

Sharri answered Jan 12, 2021