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Trigonometry Hacks

Complementary angles and unit circle shortcuts.

Instant Points
Trigonometry

Complementary Trig Theorem

\[ \sin(x) = \cos(90 - x) \]

Sine and Cosine are "Co-functions". They are equal when their angles sum to 90 degrees (or \(\pi/2\) radians).

📝 Example: Basic Complement

If \(\sin(x) = 0.8\), then \(\cos(90-x)\) is also \(0.8\). No calculator needed.

📝 Example: Radian Complement

\(\sin(\pi/6) = \cos(\pi/2 - \pi/6) = \cos(\pi/3) = 0.5\).