Evaluate transformations of sine, cosine, and tangent such as $${2{\pi-x}}$$, $${\pi-x}$$, and $${\pi+x}$$.
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FInd the value of the expression below:
$${\mathrm{sin}\frac{11\pi}{6}}$$
Precalculus and Advanced Topics > Module 4 > Topic A > Lesson 1 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Explain why each of the following expressions are equivalent:
$${\mathrm{sin}\theta=\mathrm{sin}(x-\theta)}$$
$${\mathrm{cos}\theta=\mathrm{cos}(2\pi-\theta)}$$
$${\mathrm{cos}\theta=\mathrm{cos}(-\theta)}$$
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Evaluate the following trigonometric expressions and explain how you used the unit circle to determine your answer.
a. $${\mathrm{sin}\left(\pi+\frac{\pi}{3}\right)}$$
b. $${\mathrm{cos}\left(2\pi-\frac{\pi}{6}\right)}$$
Precalculus and Advanced Topics > Module 4 > Topic A > Lesson 1 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Corinne says that for any real number $${\theta}$$, $$\mathrm{cos}{\theta}=\mathrm{cos}{\theta}-\pi$$. Is she correct? Explain how you know.
Precalculus and Advanced Topics > Module 4 > Topic A > Lesson 1 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..