Display Title
Math Example--Angle Concepts--Using Trig Ratios to Measure Radians--Example 8
Display Title
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 |
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Grade Range | 8 - 12 |
Curriculum Nodes |
Algebra • Trig Expressions and Functions • Trigonometric Functions |
Copyright Year | 2020 |
Keywords | trig ratios, Unit Circle, radians |