Math Example--Angle Concepts--Using Trig Ratios to Measure Radians--Example 2

Topic

Angles

Description

The image shows a unit circle with a highlighted arc and a point labeled (0.866, 0.5) on the circumference. The solution steps are displayed on the right, showing how to find the angle measure.

Example 2: The tangent ratio is calculated as tan(Θ) = 0.5 / 0.866 = 0.577. The inverse tangent is found as tan^-1(0.577) = 0.524 radians. This is converted to degrees: Θ = 0.524 * (180 /π) = 30°.

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.