Trig values for 0°, 30°, 45°, 60° and 90°

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Learn it Learn the exact values from two triangles: 45-45-90 with sides 1, 1, √2, and 30-60-90 with sides 1, √3, 2. Also sin 0° = 0, cos 0° = 1, sin 90° = 1, cos 90° = 0.

Example: Find sin 30°, cos 30° and tan 30°.

In the 30-60-90 triangle, opposite 30° is 1, adjacent is √3, hypotenuse is 2.
$\sin 30^\circ = \frac{1}{2}$, $\cos 30^\circ = \frac{\sqrt{3}}{2}$.
$\tan 30^\circ = \frac{1}{\sqrt{3}}$.

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