Question about pythagorea identites on trig

https://brilliant.org/wiki/pythagorean-identities/?subtopic=trigonometric-identities&chapter=pythagorean-identities

I was reading this Wiki and I wanted to know how you get 1+tan^2 and 1+cot^2 I'm quite confused.

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`2 \times 3`	$2 \times 3$
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Comments

$\large \frac{\cos^2\theta+\sin^2\theta}{\cos^2\theta}=1+\frac{\sin^2\theta}{\cos^2\theta}=1+\tan^2\theta$ and similarly other result follows.

Vilakshan Gupta - 3 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$