HSG-SRT.C.7

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- HSG-SRT.C.6Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
- HSG-SRT.C.7Explain and use the relationship between the sine and cosine of complementary angles.
- HSG-SRT.C.8Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*

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## HSG-SRT.C.7

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

17 Lesson(s)

### Formalizing Properties Known Informally

12th Grade Math »
Unit: Trigonometric Identities

12th Grade Math »
Unit: Trigonometric Identities

Big Idea:

#### How can I find the value of other trigonometric functions if I only know one or two values?

Standards:

Favorites
(1)

Resources
(20)

Reflections
(2)

### Solving Triangles with Trigonometry

Geometry »
Unit: Introduction to Trigonometry

Geometry »
Unit: Introduction to Trigonometry

Big Idea:

#### Students refine their strategies for applying trigonometric relationships. Now we see trigonometry from every side—and angle!

Standards:

Favorites
(2)

Resources
(13)

### Properties of Sine and Cosine

Geometry »
Unit: Introduction to Trigonometry

Geometry »
Unit: Introduction to Trigonometry

Big Idea:

#### Exploring the meaning of sine and cosine as ratios and as relationships. Trigonometry is just similar triangles—but better!

Standards:

Favorites
(5)

Resources
(22)

### Co-Function Identities

12th Grade Math »
Unit: Trigonometric Identities

12th Grade Math »
Unit: Trigonometric Identities

Big Idea:

#### Through reasoning students can verify identities for trigonometric functions.

Standards:

Favorites
(2)

Resources
(17)

Big Idea:

#### Aiming for perfection with practice, what's your sine? Cosine and tangent too!

Standards:

Favorites
(9)

Resources
(13)

Big Idea:

#### Students will persevere through challenging real-world problems involving the Eiffel Tower and puppies.

Standards:

Favorites
(6)

Resources
(15)

### More on Finding Lengths of Segments

Geometry »
Unit: Right Triangle Trigonometry

Geometry »
Unit: Right Triangle Trigonometry

Big Idea:

#### Students continue to apply trig functions, while also learning about the relationship between the sine and cosine of complementary angles.

Standards:

Favorites
(8)

Resources
(16)

### Finishing Up the Similar Triangles Project

12th Grade Math »
Unit: Trigonometry: Triangles

12th Grade Math »
Unit: Trigonometry: Triangles

Big Idea:

#### It's time for students to synthesize what they've learned about the trigonometric ratios, precision, similarity, and patterns. Today's work period gives students a chance to clarify their thinking and to put it in writing.

Standards:

Resources
(14)

### Solving Right Triangles

12th Grade Math »
Unit: Solving Problems Involving Triangles

12th Grade Math »
Unit: Solving Problems Involving Triangles

Big Idea:

#### After reading and drawing diagrams for word problems students use the right triangle ratios to solve the problems.

Standards:

Favorites
(1)

Resources
(19)

Reflections
(1)

### Trigonometric Identities - Day 2 of 2

12th Grade Math »
Unit: Trigonometric Relationships

12th Grade Math »
Unit: Trigonometric Relationships

Big Idea:

#### Identifying what makes a trig expression confusing will keep you focused on what needs to be simplified.

Standards:

Resources
(7)

### Trigonometric Ratios

Geometry »
Unit: Geometric Trigonometry

Geometry »
Unit: Geometric Trigonometry

Big Idea:

#### Students explore the relationship between trigonometric ratios in right triangles.

Standards:

Favorites
(2)

Resources
(16)

Reflections
(1)

### Progress Check and Homework Review 1

Geometry »
Unit: Triangles and Congruence

Geometry »
Unit: Triangles and Congruence

Big Idea:

#### Student questions are the focus of the lesson as students grade their own homework and prepare for a homework quiz.

Standards:

Resources
(22)

### Using Right Triangles to Make the Unit Circle

12th Grade Math »
Unit: Trigonometry: The Unit Circle

12th Grade Math »
Unit: Trigonometry: The Unit Circle

Big Idea:

#### By looking for connections between right triangle trig and unit circle trig, we can discover some common sense embedded in both.

Standards:

Resources
(14)

### The Pythagorean Identities

12th Grade Math »
Unit: Trigonometric Identities

12th Grade Math »
Unit: Trigonometric Identities

Big Idea:

#### How can the Pythagorean Identities and other fundamental identities be used to simplify expressions.

Standards:

Favorites
(1)

Resources
(15)

Reflections
(1)

### Problem Solving Identities

12th Grade Math »
Unit: Trigonometric Identities

12th Grade Math »
Unit: Trigonometric Identities

Big Idea:

#### Through the use of algebra and known identities other identities can be verified.

Standards:

Resources
(10)

Reflections
(1)

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