Concept

Sine

For an acute angle θ of a right triangle, the sine of θ is the ratio between the lengths of the opposite side and the hypotenuse.

Sides of a right triangle labeled

The sine of θ is written as sin θ.

sin θ=Opposite/Hypotenuse

This trigonometric ratio states the ratio between the opposite side and the hypotenuse. It gives no indication about the lengths of the individual sides.

Right triangle with two vertices movable and the sine of one acute angle is computed while the measures change

It should be noted that for a given angle, when the opposite side and hypotenuse measurements change, if their ratio stays the same, then the sine, too, would stay the same.

Exercises
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