What is the equation of the unit circle?

The unit circle is a circle centered at the origin, with a radius of one. The equation of the unit circle is u2 + v2 = 1.

How do you use the unit circle?

A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another. Say, for example, we have a right triangle with a 30-degree angle, and whose longest side, or hypotenuse, is a length of 7.

Why is it called a unit circle?

The circle pictured is called a unit circle. Why is that term used? Answer: It is called a unit circle because its radius is one unit.

Where on the unit circle does Cos?

The point of the unit circle is that it makes other parts of the mathematics easier and neater. For instance, in the unit circle, for any angle θ, the trig values for sine and cosine are clearly nothing more than sin(θ) = y and cos(θ) = x.

What are the tangents on the unit circle?

The definition of the tangent In terms of the unit circle diagram, the tangent is the length of the vertical line ED tangent to the circle from the point of tangency E to the point D where that tangent line cuts the ray AD forming the angle.

What do you mean by unit circle in math?

Unit Circle. The “Unit Circle” is a circle with a radius of 1. Being so simple, it is a great way to learn and talk about lengths and angles. The center is put on a graph where the x axis and y axis cross, so we get this neat arrangement here. Sine, Cosine and Tangent. Because the radius is 1, we can directly measure sine, cosine and tangent.

Where can I get a unit circle quiz?

There is a printable worksheet available for download here so you can take the quiz with pen and paper. A unit circle game. Plus signs aren’t working so I used X instead. The Xs are in the quadrant labels. The background’s from Wikipedia.

Can you pick the degrees of the unit circle?

Can you pick the degrees of the unit circle when given the matching angle in radians? Support Sporcle. Go Orange. Get the ad-free and most optimal, full-featured Sporcle experience. ? You’re not logged in! Compare scores with friends on all Sporcle quizzes. Double the players, double the power. Remove Ads. Support Sporcle.

Is the unit circle the same as the radians?

The unit circle is the circle of radius one centered at the origin in the Cartesian coordinate system. is equivalent to which corresponds to the point on the unit circle. What point corresponds to an angle of radians on the unit circle?