Trigonometric Ratios

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What is the sine of a 30-degree angle?

The sine of a 30-degree angle is $$\sin(30^\circ) = \frac{1}{2}$$.

How do you calculate cosine in a right triangle?

Cosine is the ratio of the length of the adjacent side to the length of the hypotenuse: $$\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}$$

If you know the angle and one side, how can you find the other sides?

Use the trigonometric ratios: $$\text{opposite} = \sin(\theta) \cdot \text{hypotenuse}$$ and $$\text{adjacent} = \cos(\theta) \cdot \text{hypotenuse}$$

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