Unit Circle Chart

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What is a unit circle chart?

A unit circle chart is a graphical tool used in mathematics to understand and visualize trigonometric functions. It consists of a circle with a radius of 1 unit and is divided into various angles and quadrants. The unit circle chart serves as a reference guide for calculating the values of trigonometric functions such as sine, cosine, and tangent.

What are the types of unit circle chart?

There are two main types of unit circle charts: the degrees chart and the radians chart. The degrees chart measures angles in degrees, ranging from 0° to 360°, while the radians chart measures angles in radians, ranging from 0 to 2π. Both types of charts have the same information but are presented in different units to accommodate different mathematical calculations.

Degrees chart

Radians chart

How to complete a unit circle chart

Completing a unit circle chart requires a step-by-step approach. Here are the steps to follow:

Start by labeling the main angles, 0°/0 radians, 90°/π/2 radians, 180°/π radians, 270°/3π/2 radians, and 360°/2π radians.

Next, determine the corresponding values of sine, cosine, and tangent for each angle and mark them on the unit circle.

Continue filling in the remaining angles and their respective trigonometric function values.

Remember to include the positive and negative signs for each value, as they vary depending on the quadrant.

Double-check your work to ensure accuracy.

By following these steps, you can successfully complete a unit circle chart and use it as a valuable tool in trigonometry calculations.

Video Tutorial How to Fill Out unit circle chart

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