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sinθ

Definition

The sine of an angle θ is the ratio of the length of the side opposite to θ in a right triangle to the length of the hypotenuse.

Analogy

Imagine you are on a swing. When you swing back and forth, your highest point is when you reach the maximum height. The sine function represents this vertical distance from the middle position.

Related terms

Cosine (cosθ): The cosine of an angle θ is the ratio of the length of the adjacent side to θ in a right triangle to the length of the hypotenuse.

Tangent (tanθ): The tangent of an angle θ is equal to sine divided by cosine, or opposite over adjacent.

Cosecant (cscθ): The cosecant function is equal to 1 divided by sine, or hypotenuse over opposite.

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.