Math - Trigonometry — 6-topic bundle

For any non-right angle in a right-angled triangle, we name the sides relative to that angle:
* Hypotenuse: This is always the longest side and is opposite the 90-degree angle.
* Opposite: This side is directly across from the angle you're interested in.
* Adjacent: This side is next to the angle you're interested in, but it's not the hypotenuse.

Trigonometry started with right triangles. You learned about SOH CAH TOA:
- Sine ($\sin$) = Opposite / Hypotenuse
- Cosine ($\cos$) = Adjacent / Hypotenuse
- Tangent ($\tan$) = Opposite / Adjacent

This is great for angles between 0 and 90 degrees. But what about angles like 120 or 300 degrees? That's where the unit circle comes in.

Trigonometric identities are fundamental equations that are true for all values of the variables for which both sides of the equation are defined. They're super useful for simplifying complex expressions and solving trigonometric equations.

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