MAFS.912.F-TF.1.3

Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosine, and tangent for π–x, π+x, and 2π–x in terms of their values for x, where x is any real number.
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Functions: Trigonometric Functions
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Extend the domain of trigonometric functions using the unit circle. (Algebra 2 - Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1202340: Precalculus Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (current), 2022 and beyond)
1211300: Trigonometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
1298310: Advanced Topics in Mathematics (formerly 129830A) (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))
1201315: Analysis of Functions Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

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Lesson Plans

Sine, Cosine, and Tangent: The Leap from Special Triangles to the Unit Circle:

Students will discover the connection between finding trigonometric ratios (sine, cosine, and tangent) using special right triangles and the unit circle.

Type: Lesson Plan

Exact Trigonometric Ratios: Triangles to the Unit Circle:

This is a lesson in which the student learns and practices exact trig values. They are explained using triangles, then the unit circle, and then guided practice to be sure these concepts are mastered since they will be used in future problems in PreCalculus and Calculus.

Type: Lesson Plan

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