dalen17 dalen17

31-12-2020
Mathematics

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Prove that sin²a + cos²a = 1 and = [tex]\frac{1}{cos^{2}a }[/tex] + tan²a (a not alpha)

$Prove that sina cosa 1 and texfrac1cos2a tex tana a not alpha class=$

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belgrad belgrad

05-01-2021

Answer:

[tex]\frac{1}{cos^2a }= tan^2 a[/tex]

Step-by-step explanation:

Explanation:-

Given sin²a + cos²a = 1

and

[tex]\frac{1}{cos^{2} a} \\= \frac{sin^2a+cos^2a}{cos^2a} \\ \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}[/tex]

= tan²a + 1

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