Display Title

Math Example--Angle Concepts--Using Trig Ratios to Measure Radians--Example 8

Math Example--Angle Concepts--Using Trig Ratios to Measure Radians--Example 8

Image for Math Example--Angle Concepts--Using Trig Ratios to Measure Radians--Example 8

Topic

Angles

Description

This image shows a unit circle with a highlighted arc along the negative x-axis (180 degrees). The point (-1, 0) is marked on the circle at this position on the unit circle's circumference, representing an angle of either 0 or 180 degrees depending on direction.

Example 8: The tangent ratio is calculated using tan(Θ) = 0 / 1 = 0. The inverse tangent is found as tan-1(0) = 0 radians, and converting this to degrees gives Θ = 0° or 180° depending on direction along the unit circle's circumference from origin to point (-1, 0).

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.

Common Core Standards CCSS.MATH.CONTENT.HSG.SRT.C.6, CCSS.MATH.CONTENT.HSG.SRT.C.8, CCSS.MATH.CONTENT.HSF.TF.A.1, CCSS.MATH.CONTENT.HSF.TF.A.2, CCSS.MATH.CONTENT.HSF.TF.A.3, CCSS.MATH.CONTENT.HSF.TF.A.4
Grade Range 8 - 12
Curriculum Nodes Algebra
    • Trig Expressions and Functions
        • Trigonometric Functions
Copyright Year 2020
Keywords trig ratios, Unit Circle, radians