Question Video: Using the Unit Circle to Express the Values of Sine, Cosine, and Tangent for 2𝜋 − 𝑥 in Terms of Their Values for 𝑥, Where 𝑥 Is Any Real Number
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In the figure, points 𝑀(cos 𝜃, sin 𝜃) and 𝑁 lie on the unit circle, and ∠𝐴𝑂𝑁 = 2𝜋 − 𝜃. Express the values of sine, cosine, and tangent of 2𝜋 − 𝜃 in terms of their values for 𝜃. Check whether this is valid for all values of 𝜃.
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Unit circle (video), Trigonometry
![Question Video: Using the Unit Circle to Express the Values of Sine, Cosine, and Tangent for 2𝜋 − 𝑥 in Terms of Their Values for 𝑥, Where 𝑥 Is Any Real Number](https://upload.wikimedia.org/wikipedia/commons/3/3b/Circle_cos_sin.gif)
Sine and cosine - Wikipedia
![Question Video: Using the Unit Circle to Express the Values of Sine, Cosine, and Tangent for 2𝜋 − 𝑥 in Terms of Their Values for 𝑥, Where 𝑥 Is Any Real Number](https://www.researchgate.net/publication/341812787/figure/fig1/AS:897790007836673@1591061226081/The-unit-circle-used-for-deriving-sine-and-cosine-functions.png)
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![Question Video: Using the Unit Circle to Express the Values of Sine, Cosine, and Tangent for 2𝜋 − 𝑥 in Terms of Their Values for 𝑥, Where 𝑥 Is Any Real Number](https://www.andrews.edu/~rwright/Precalculus-RLW/Images/04-06F04.png)
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![Question Video: Using the Unit Circle to Express the Values of Sine, Cosine, and Tangent for 2𝜋 − 𝑥 in Terms of Their Values for 𝑥, Where 𝑥 Is Any Real Number](https://i.ytimg.com/vi/r9UtCf9P7_M/maxresdefault.jpg?sqp=-oaymwEmCIAKENAF8quKqQMa8AEB-AH8CYAC0AWKAgwIABABGGUgZShlMA8=&rs=AOn4CLA5KvWnX0p8C8G1JU74ASS4ChDouA)
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Sine and cosine - Wikipedia
![Question Video: Using the Unit Circle to Express the Values of Sine, Cosine, and Tangent for 2𝜋 − 𝑥 in Terms of Their Values for 𝑥, Where 𝑥 Is Any Real Number](https://homework.study.com/cimages/multimages/16/unit_circle-study2270489599387847450.jpg)
Solve the equation for all degree solutions and if 0 ? ? < 360 . (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) (2cos theta +
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