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It can be the basis of the trig functions because the hypotenuse, which is the radius, is 1.

For related reasons, it can represent unit vectors in any direction.

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Q: Why does the unit circle become the basis of a unit function?
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Related questions

How is the unite circle related to sine?

If you draw a unit circle, the sine function can be expressed as the y-coordinate of a point on the circle; the cosine function as the x-coordinate.


Can the unit circle have a radius of 2 unit?

If the radius is two. it won't be a unit circle, a unit circle is defined as a circle with radius one.


What is unit circle?

The unit circle is a circle with its center at the origin and a radius of ' 1 '.


On the unit circle define the sine function by using the distance walked as the input and the y coordinate as the output?

Yes, but only if the argument of the sine function is in radians.


What is a period of a trigonometry function?

The period of a trigonometric function, since it depends on the angle of a ray centered in a unit circle, is 2 pi radians or 360 degrees.


How many units in a unit circle?

A unit circle is a circle with radius equal to one.


Who made the unit circle?

It is unknown who created the unit circle. Pythagoras did a lot of work related to the unit circle. In ancient times, Greek, Indian, and Arabian mathematicians used the unit circle.


Why is the unit circle called two pi?

A unit circle is not normally called 2 pi. Because the radius length measure of the unit circle is 1 unit, then the circumference of a unit circle is 2*pi, and its area is pi.


What is the unit circle?

The unit circle is a circle that can be used to find trigonometric functions. The equation of the unit circle is x^2 + y^2 = 1. So it is any circle with radius 1.


What kind of unit does a circle have?

A circle can have a unit of length which could be either a measure of its diameter or radius, or of its circumference. Or the circle could have the unit of area.


How do you memorize the unit circle?

There really isn't much to memorize. The unit circle is a circle with a radius of 1.


Why does the unit circle have its name?

A unit circle is one that has a radius of one. One = Unit, and hence the name.