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Explain and use the relationship between the sine and cosine of complementary angles.
Standard #: MAFS.912.G-SRT.3.7Archived Standard
Standard Information
General Information
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Geometry: Similarity, Right Triangles, & Trigonometry
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Define trigonometric ratios and solve problems involving right triangles. (Geometry - Major 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
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Related Courses
Related Resources
Formative Assessments
  • Sine and Cosine # Students are asked to explain the relationship between sine and cosine of the acute angles of a right triangle.
  • Right Triangle Relationships # Students are given the sine and cosine of angle measures and asked to identify the sine and cosine of their complements.
  • Finding Sine # Students are asked to explain the relationship between sine and cosine of complementary angles.
  • Patterns in the 30-60-90 Table # Students are asked to use 30-60-90 triangle relationships to observe and explain the relationship between sin 30 and cos 60 (or sin 60 and cos 30).
Lesson Plans
  • Sine and Cosine Relationship between Complementary Angles # This is a lesson on the relationship between the Sine and Cosine values of Complementary Angles.
  • Sine, Sine, Everywhere a Sine # Students discover the complementary relationship between sine and cosine in a right triangle.
  • Introduction to Trigonometry # The video is a brief introduction to or review of trigonometry. The teacher uses a spray bottle to show the difference between opposite, adjacent, and hypotenuse according to the angle in which the bottle is located. Then she touches upon sine, cosine, and tangent. She uses theatrics to introduce the saying "soh-cah-toa" as an acronym for each of the sine, cosine, and tangent.
MFAS Formative Assessments
  • Finding Sine # Students are asked to explain the relationship between sine and cosine of complementary angles.
  • Patterns in the 30-60-90 Table # Students are asked to use 30-60-90 triangle relationships to observe and explain the relationship between sin 30 and cos 60 (or sin 60 and cos 30).
  • Right Triangle Relationships # Students are given the sine and cosine of angle measures and asked to identify the sine and cosine of their complements.
  • Sine and Cosine # Students are asked to explain the relationship between sine and cosine of the acute angles of a right triangle.
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