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# Standard #: MAFS.912.G-SRT.3.7 (Archived Standard)

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Explain and use the relationship between the sine and cosine of complementary angles.

### General Information

Subject Area: Mathematics
Domain-Subdomain: Geometry: Similarity, Right Triangles, & Trigonometry
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 of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

### Test Item Specifications

Assessed with:

MAFS.912.G-SRT.3.8

#### Related Courses

 Course Number1111 Course Title222 1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 1211300: Trigonometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022 (course terminated)) 1206310: Geometry (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 1206320: Geometry Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 1206315: Geometry for Credit Recovery (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current)) 7912065: Access Geometry (Specifically in versions: 2015 - 2022, 2022 and beyond (current))

#### Formative Assessments

 Name Description 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

 Name Description 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 This is an inquiry-based learning activity where students use a scientific calculator to compare the values of the sine of an acute angle and the cosine of its complement in a given 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.
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