Subject

Resource Type

File Type

Standards

CCSSHSF-TF.C.9

CCSSHSF-TF.C.8

CCSSHSF-TF.B.7

CCSSHSF-TF.A.1

CCSSHSA-SSE.B.3

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- Product Description
- StandardsNEW

This activity practices solving basic trigonometric equations. Students must find their primary solutions in the specific interval (0 ; 2π] and give answers in radian form. The process of solving involves only the use of the reciprocal identities and algebraic manipulation (such as collecting like terms) to isolate the trigonometric function on one side of the equation.

Partners will each have their own set of fourteen equations. All the equations are well thought so the solutions of each equation on the specified interval are only two. The amusing part of this activity is creating compound words corresponding to each solution set of the trigonometric equations given. Partner A’ s equations are equivalent to partner B’ s equations, so the compound words made by one partner will be the same as the words made by the other partner. Thus, partners will be satisfied to know that they both have worked correctly and will be encouraged to collaborate.

Activity Directions: Partners start solving individually their own problems. Once they have found the solution set of each equation, they are given two tables to use. There is a word corresponding to each radian written in table 1 . Using this table, students find which two words correspond to each solution set of their equations and make compound words. They record the solution set of each trigonometric equation and write down the compound word corresponding to it in table 2 .

Students show detailed solutions on student recording sheets specially designed for this activity or they can solve the problems on a separate sheet of notebook paper.

All answer keys are included.

This activity is included in my

1) **BIG PRECALCULUS Activities Growing BUNDLE**

2) Trigonometric (Expressions, Identities & Equations ) BUNDLE Activities

3) Trigonometric Equations BUNDLE Activities

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**Related products** on Trigonometric Equations available for individual purchase:

1) Solving Trigonometric Equations with Multiple Angles - Quiz or Group Activity

2) Solving Trig Equations by the Square Root Method - Partner "Match & Sort" Activity

4) Solving Trigonometric Equations by Factoring- Quiz Game "Find out the constellation Leo"

5) Solving Trig Equations having General COMMON Solution (All Methods & All Identities)

**Similar activities** on other topics about making compound words:

1) Solving **Quadratic Equations** by All Methods Partner Activity **"Make a compound word"**

2) **Exponential Equations** Levels 1 and 2 Partner Activity **"Make compound words"**

3) Solving **Linear Systems** by All Methods Partner Activity **"Make a compound word"**

4) **Quadratic Equations with Complex Roots** - Partner Activity **"Make compound words"**

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Log in to see state-specific standards (only available in the US).

CCSSHSF-TF.C.9

Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.

CCSSHSF-TF.C.8

Prove the Pythagorean identity sin²(θ) + cos²(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.

CCSSHSF-TF.B.7

Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context.

CCSSHSF-TF.A.1

Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

CCSSHSA-SSE.B.3

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

Total Pages

13 pages

Answer Key

Included

Teaching Duration

N/A

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