Math Example--Angle Concepts--Using Trig Ratios to Measure Radians--Example 12

Topic

Angles

Description

This image displays a unit circle with a highlighted arc along the negative y-axis (third quadrant). The coordinates of the point on the circle are (0, -1). The tangent ratio is undefined due to division by zero, but the angle is found using radians/degrees.

Example 12: The x-y coordinates are (0, -1). Since tan(Θ) = -1 / 0 is undefined, we use the known value for this position on the unit circle: Θ = -1.57 radians, which is converted to degrees as Θ = -90°.

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.