The Unit Circle

Tutoring on The Unit Circle

Learning Objectives:

Understand and Apply Unit Circle.

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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Struggling with Unit Circle? Need math help for homework? You are not the only one. Fortunately, our expert tutors in math tutoring are online now and are ready to help.

 

 

 

 

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