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3 years ago

15

Prove that sin²a + cos²a = 1 and =

le="\frac{1}{cos^{2}a }" alt="\frac{1}{cos^{2}a }" align="absmiddle" class="latex-formula"> + tan²a (a not alpha)

1 answer:

lubasha [3.4K]3 years ago

3 0

Answer:

$\frac{1}{cos^2a }= tan^2 a$

Step-by-step explanation:

Explanation:-

Given sin²a + cos²a = 1

and

$\frac{1}{cos^{2} a} \\= \frac{sin^2a+cos^2a}{cos^2a} \\ \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}$

= tan²a + 1

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Refer to the attached image.

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Mrrafil [7]

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Step-by-step explanation:

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