Learning Objectives:

__Math Tutoring on The Unit Circle__

In trigonometry, the **Unit Circle** is a circle of radius one and centered at the origin (0, 0) of a **Cartesian Coordinate system**.

If (a, b) is a point on the unit circle, then by the Pythagorean Theorem ‘a’ and ‘b’ satisfy the equation .

If the ray from the origin (0, 0) to the point (a, b) makes an angle α from the positive X-axis, then the trigonometric functions Cosine and Sine of the angle α is defined as Cosα=a and Sinα=b. So tanα=a/b.

Thus we get the relation .

So with the help of **Unit Circle** in math tutoring, we can determine all the trigonometric functions of any angles of 30° and 45° and in terms of radians.

We can determine the coordinate of a particular point using the concept of **Unit Circle**.

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**Hook Questions:**

*1. **Give the definition of the Unit Circle?*

*2. **How can we determine the trigonometric functions value using Unit Circle?*

*3. **How can we determine the coordinate of a point by the help of Unit Circle?*

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