Convert between degrees and radians and evaluate trigonometric functions written in radians.
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If $${{{{{360}}}}}$$ degrees is $${2{\pi}}$$ radians, how many degrees are $${\pi}$$ radians?
If $${{{{{360}}}}}$$ degrees is $${2{\pi}}$$ radians, how many degrees are $$\frac{{\pi}}{3}$$ radians?
If $${{{{{360}}}}}$$ degrees is $${2{\pi}}$$ radians, how many radians are $${90}$$ degrees?
If $${{{{{360}}}}}$$ degrees is $${2{\pi}}$$ radians, how many radians are $${540}$$ degrees?
If $${{{{{360}}}}}$$ degrees is $${2{\pi}}$$ radians, how many degrees are $$-\frac{5{\pi}}{4}$$ radians?
How many radii does it take to go around the whole circle? How would you represent this in terms of pi?
What is a Radian? by Sam Shah is made available by GeoGebra under the CC BY-NC-SA 3.0 license. Copyright © International GeoGebra Institute, 2013. Accessed Feb. 26, 2018, 1:22 p.m..
Use the unit circle and indicated triangle below to find the exact value of the sine and cosine of the special angle $${\frac{\pi}{4}}$$.
Special Triangles 1, accessed on Feb. 26, 2018, 1:26 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
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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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Convert $${60^\circ}$$ to radians.
Algebra II > Module 2 > Topic A > Lesson 9 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..
Convert $${-\frac{\pi}{2}}$$ rad to degrees.
Algebra II > Module 2 > Topic A > Lesson 9 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..
Evaluate $${\mathrm{cos}\frac{3\pi}{4}}$$.
If you evaluated $${\mathrm{sin}3.1}$$ on your calculator in radian mode, would the answer be positive or negative? Why?