Math Example--Angle Concepts--Using Trig Ratios to Measure Radians--Example 9

Topic

Angles

Description

The image shows a unit circle with a highlighted arc in the fourth quadrant. The coordinates of the point on the circle are (0.866, -0.5). The tangent ratio is calculated, followed by the inverse tangent to find the angle in radians and degrees.

Example 9: The x-y coordinates are (0.866, -0.5). The tangent ratio is calculated as tan(Θ) = -0.5 / 0.866 = -0.577. The inverse tangent gives Θ = -0.524 radians, which is converted to degrees as Θ = -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.