Chapter Review
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Trigonometric ratios
We are asked to complete the following sentence.
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Sine, cosine, and tangent are ?. |
To do this, let's recall the definitions of sine, cosine, and tangent.
| Term | Definition | Ratio |
|---|---|---|
| Sine | The ratio between the lengths of the opposite side and the hypotenuse in a right triangle for a specific angle. | sin(θ)=opposite/hypotenuse |
| Cosine | The ratio between the lengths of the adjacent side and the hypotenuse in a right triangle for a specific angle. | cos(θ)=adjacent/hypotenuse |
| Tangent | The ratio between the lengths of the opposite side and the adjacent side in a right triangle for a specific angle. | tan(θ)=opposite/adjacent |
As we can see, each of these concepts represents some kind of ratio of side lengths in a right triangle. Therefore, these are trigonometric ratios.
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Sine, cosine, and tangent are trigonometric ratios. |