Evaluate sines and cosines of points at reference angles on the unit circle.
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Below is a diagram of a Ferris wheel. It is a model with a one-foot radius.
Assume that a person enters onto the Ferris wheel at the position You and travels a turn of $${30^{\circ}}$$ round the center point.
What are the sine and cosine for each degree turn shown below?
In the unit circles we have been looking at, $${0^{\circ}}$$ and $$36{0^{\circ}}$$ are marked in the same place. What other angles are equivalent to $$3{0^{\circ}}$$? $$7{0^{\circ}}$$? What angle on the unit circle is equivalent to $${495^{\circ}}$$?
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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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Calculate $${\mathrm{sin}(210^{\circ})}$$ and $${\mathrm{cos}(210^{\circ})}$$ without a calculator.
Algebra II > Module 2 > Topic A > Lesson 4 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..
Modified by The Match Foundation, Inc.Evaluate $${\mathrm{sin}(-90^{\circ})}$$ without a calculator.
Calculate $${\mathrm{cos}(480^{\circ})}$$ and $${\mathrm{sin}(480^{\circ})}$$ without a calculator.
Algebra II > Module 2 > Topic A > Lesson 5 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..
Modified by The Match Foundation, Inc.