Standard 1 : Trigonometric Functions (Archived)



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Extend the definitions of the trigonometric functions beyond right triangles using the unit circle, and measure angles in radians as well as degrees. Draw and analyze graphs of trigonometric functions (including finding period, amplitude, and phase shift), and use them to solve word problems. Define and graph inverse trigonometric functions, and determine values of both trigonometric and inverse trigonometric functions.

General Information

Number: MA.912.T.1
Title: Trigonometric Functions
Type: Standard
Subject: X-Mathematics (former standards - 2008) - Archived
Grade: 912
Body of Knowledge: Trigonometry

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.912.T.1.1: Convert between degree and radian measures.
MA.912.T.1.2: Define and determine sine and cosine using the unit circle.
MA.912.T.1.3: State and use exact values of trigonometric functions for special angles:  multiples of P/6 and P/4 (degree and radian measures).
MA.912.T.1.4: Find approximate values of trigonometric and inverse trigonometric functions using appropriate technology.
MA.912.T.1.5: Make connections between right triangle ratios, trigonometric functions, and circular functions.
MA.912.T.1.6: Define and graph trigonometric functions using domain, range, intercepts, period, amplitude, phase shift, vertical shift, and asymptotes with and without the use of graphing technology.
MA.912.T.1.7: Define and graph inverse trigonometric relations and functions.
MA.912.T.1.8: Solve real-world problems involving applications of trigonometric functions using graphing technology when appropriate.


Related Resources

Vetted resources educators can use to teach the concepts and skills in this topic.

Image/Photograph

Name Description
Clipart ETC: Trigonometry and Analytic Geometry: Clipart for Trigonometry and Analytic Geometry

Lesson Plans

Name Description
Calculating the Earth-Sun distance using Satellite Observations of a Venus Transit:

Every school child learns that the earth-sun distance is 93 million miles. Yet, determining this distance was a formidable challenge to the best scientists and mathematicians of the 18th and 19th centuries. The purpose of this lesson is to use the 2012 Transit of Venus as an opportunity to work through the mathematics to calculate the earth-sun distance. The only tools needed are basic knowledge of geometry, algebra, and trigonometry. The lesson is self-contained in that it includes all the data needed to work through the exercise.

Graph of y=cosx lesson:

This lesson teaches students how to graph y=cosx in radians.