Let's start with this triangle again:
Let's label the sides $o$, $a$, and $h$ for brevity.
Now, with the Pythagorean theorem, we can write:
$$o^2 + a^2 = h^2$$
Dividing both sides by $h^2$ we get:
$$\frac{o^2}{h^2} + \frac{a^2}{h^2} = \frac{h^2}{h^2} \to (\frac{o}h)^2+(\frac{a}h)^2=1$$
But $\sin\theta = \frac{o}h$ and $\cos\theta = \frac{a}h$. So, the above simplifies to:
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Paywall
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