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# Unit 2: Module 2: Trigonometric functions

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## About this unit

"Module 2 builds on students’ previous work with units and with functions from Algebra I, and with trigonometric ratios and circles from high school Geometry. The heart of the module is the study of precise definitions of sine and cosine (as well as tangent and the co-functions) using transformational geometry from high school Geometry. This precision leads to a discussion of a mathematically natural unit of rotational measure, a radian, and students begin to build fluency with the values of the trigonometric functions in terms of radians. Students graph sinusoidal and other trigonometric functions, and use the graphs to help in modeling and discovering properties of trigonometric functions. The study of the properties culminates in the proof of the Pythagorean identity and other trigonometric identities." Eureka Math/EngageNY (c) 2015 GreatMinds.org### Learn

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- Trig values of special anglesGet 3 of 4 questions to level up!
- Reciprocal trig ratiosGet 5 of 7 questions to level up!

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- Radians & degreesGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 240 Mastery points

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- Graph sinusoidal functionsGet 3 of 4 questions to level up!

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- Midline of sinusoidal functions from graphGet 3 of 4 questions to level up!
- Amplitude of sinusoidal functions from graphGet 3 of 4 questions to level up!
- Midline of sinusoidal functions from equationGet 3 of 4 questions to level up!
- Amplitude of sinusoidal functions from equationGet 3 of 4 questions to level up!
- Period of sinusoidal functions from graphGet 3 of 4 questions to level up!
- Period of sinusoidal functions from equationGet 3 of 4 questions to level up!

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- Construct sinusoidal functionsGet 3 of 4 questions to level up!
- Modeling with sinusoidal functionsGet 3 of 4 questions to level up!
- Modeling with sinusoidal functions: phase shiftGet 3 of 4 questions to level up!

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### Practice

- Use the Pythagorean identityGet 3 of 4 questions to level up!
- Using the trig angle addition identitiesGet 3 of 4 questions to level up!

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