Trigonometric Equations Lesson

Happy Tuesday Algebra 2!

January 10, 2023

Agenda

Reminders

Warm Up

11.1 Notes

Practice

Wrap Up

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All work is due by January 23rd at MIDNIGHT!

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Reminders

11.1-Right Triangle Trigonometry

Objectives

• Recognize the characteristics of special right triangles.

• Find trigonometric ratios for right triangles and use them to find side lengths.

• Find trigonometric ratios for special right triangles.

• Use a calculator to find angle measures and side lengths from trigonometric ratios.

• Solve problems using right triangle trigonometry.

Right Triangles

Multiple Choice

The side across from the 90 degree angle is called the:

• opposite

• adjacent

• hypotenuse

• angles

Special Right Triangles

45-45-90

• The angles are 45, 45, and 90 degrees

• The side length ratios are specific to this triangle only!

30-60-90

• The angles are 30, 60, and 90 degrees

• The side length ratios are specific to this right triangle only!

Multiple Select

Which of the following are special right triangles?

• 40,40,20

• 45,45,90

• 30,40,90

• 30,60,90

Trigonometric Functions

-The Pythagorean Theorem is used to find side lengths of a right triangle.

-Now, we're going to find out how to find the angle measures of right triangles.

-We use the trigonometric ratios.

-Sine, Cosine, and Tangent are the three main ratios

Subject | Subject

Some text here about the topic of discussion

Trigonometric Ratios

Subject | Subject

An easy way to remember the three trigonometric ratios is through the acronym

SOH-CAH-TOA

SOH-sin=opposite/hypotenuse

CAH-cos=adjacent/hypotenuse

TOA-tan=opposite/adjacent

-If we start at angle Q, you can see that we have the opposite and adjacent sides.

-If we look at our three ratios (sin, cos, tan) you can see that tangent is the best to use since it uses the opposite and adjacent sides

Find angle of angle Q

Multiple Choice

What is the sin ratio of angle E?

• x/7

• 7/x

• 21/7

• x/24-x

Multiple Choice

What is the ratio for cosine?

• opp/hyp

• adj/hyp

• opp/adj

• adj/opp

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Unit 10 Test

11.1

11.2

Don't Forget Seminar!

To Do

Wrap Up