Math Example--Angle Concepts--Using Trig Ratios to Measure Radians--Example 4

Topic

Angles

Description

The image shows a unit circle with a highlighted arc and a point labeled (0, 1) at the top of the circle, representing an undefined tangent ratio as it lies on the y-axis directly above the origin. Solution steps are listed on the right side.

Example 4: The tangent ratio is undefined because tan(Θ) = 1 / 0, but tan^-1(undefined) gives an angle of Θ = 1.57 radians, or 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.