Math Example--Angle Concepts--Using Trig Ratios to Measure Radians--Example 16

Topic

Angles

Description

This image shows a unit circle with a point at (-1, 0), located on the negative x-axis, and the highlighted arc covers half of the circle (180¡). The tangent ratio is calculated using these coordinates, followed by finding the angle in both radians and degrees.

Example 16: The tangent ratio is tan(Θ) = 0 / 1 = 0, leading to an inverse tangent of tan^-1(0) = 0 radians. Converting this to degrees gives Θ = 0° or -180°.

These examples cover trigonometric ratios by demonstrating specific angles and calculations on the unit circle. Such visualizations aid in understanding the fundamental concepts of trigonometric functions.

By studying multiple worked-out examples, students gain deeper insight into the concept and can better recognize patterns in trigonometric functions.

Teacher's Script: Let's look at this example together. Notice how the angle is highlighted and how the tangent ratio is calculated. This visual can help you understand how trigonometric ratios work on a unit circle.

For a complete collection of math examples related to Trig Ratios click on this link: Math Examples: Trig Ratios and Radian Measures Collection.