I have a real simple question about the Pythagoras theorem

[rgtr]

Homework Statement

There are 2 angles c and d. If I pick angle d instead of angle c. Does opposite become adjacent and adjacent becomes opposite?
https://www.grc.nasa.gov/www/BGH/sincos.html

Relevant Equations

$tan(d) = \frac o a$

Here is the link.
https://www.grc.nasa.gov/www/BGH/sincos.html

Sorry just a little rusty on Pythagoras theorem.

I mean the formula still holds but in order to find the opposite and the adjacent the opposite becomes the adjacent and vice versa .

 

[DaveE]

Yes.

 

[rgtr]

Thanks.

 

[Mark44]

@rgtr, your question has nothing to do the theorem of Pythagoras, which involves the two sides of a right triangle and the hypotenuse. It doesn't distinguish between the two sides.
What you're asking about is more relevant to how the sine and cosine functions are defined for a right triangle.

 

[rgtr]

Sorry I was in school a few years ago. I just remember learning them all together.

 

[Delta2]

if the angles c and d are the two angles (besides the right angle) of a right triangle then yes it is as you say.

A generalization of your observation is that for two angles $x$ and $y$ such that $x=\frac{\pi}{2}-y$ it holds that $$\tan x=\frac{1}{\tan y}$$