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Unit Circle Symmetry Reloaded

Authored by Don Krolak

Mathematics

9th - 12th Grade

CCSS covered

Used 50+ times

Unit Circle Symmetry Reloaded
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25 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Suppose  cosθ=xθ  \cos\theta=x_{\theta}\ \   and  sinθ=yθ\sin\theta=y_{\theta}  find the values of  cos(πθ)\cos\left(\pi-\theta\right)  and  sin (πθ)\sin\ \left(\pi-\theta\right)  

 (xθ, yθ)\left(x_{\theta},\ y_{\theta}\right)  

 (xθ, yθ)\left(-x_{\theta},\ y_{\theta}\right)  

 (xθ, yθ)\left(x_{\theta},\ -y_{\theta}\right)  

 (xθ, yθ)\left(-x_{\theta},\ -y_{\theta}\right)  

Tags

CCSS.HSF.TF.A.4

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Suppose  cosθ=xθ  \cos\theta=x_{\theta}\ \   and  sinθ=yθ\sin\theta=y_{\theta}  find the values of  cos(π+θ)\cos\left(\pi+\theta\right)  and  sin (π+θ)\sin\ \left(\pi+\theta\right)  

 (xθ, yθ)\left(x_{\theta},\ y_{\theta}\right)  

 (xθ, yθ)\left(-x_{\theta},\ y_{\theta}\right)  

 (xθ, yθ)\left(x_{\theta},\ -y_{\theta}\right)  

 (xθ, yθ)\left(-x_{\theta},\ -y_{\theta}\right)  

Tags

CCSS.HSF.TF.C.9

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Suppose  cosθ=xθ  \cos\theta=x_{\theta}\ \   and  sinθ=yθ\sin\theta=y_{\theta}  find the values of  cos(θ)\cos\left(-\theta\right)  and  sin (θ)\sin\ \left(-\theta\right)  

 (xθ, yθ)\left(x_{\theta},\ y_{\theta}\right)  

 (xθ, yθ)\left(-x_{\theta},\ y_{\theta}\right)  

 (xθ, yθ)\left(x_{\theta},\ -y_{\theta}\right)  

 (xθ, yθ)\left(-x_{\theta},\ -y_{\theta}\right)  

Tags

CCSS.HSF.TF.A.4

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which rotation results in flipping the point on the unit circle over the x axis.

πθ\pi-\theta

θ+π\theta+\pi

θ or 2πθ-\theta\ or\ 2\pi-\theta

θ+2π\theta+2\pi

Tags

CCSS.HSF.TF.A.2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which rotation results in flipping the point on the unit circle over the y axis.

πθ\pi-\theta

θ+π\theta+\pi

 θ or  2πθ-\theta\ or\ \ 2\pi-\theta 

θ+2π\theta+2\pi

Tags

CCSS.HSF.TF.A.2

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which rotation results in flipping the point on the unit circle over the origin

πθ\pi-\theta

θ+π\theta+\pi

 θ or  2πθ-\theta\ or\ \ 2\pi-\theta 

θ+2π\theta+2\pi

Tags

CCSS.HSF.TF.A.2

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 cosθ=0.87 \cos\theta=0.87\   and  sinθ=0.50\sin\theta=0.50  find the values of  cos(πθ)\cos\left(\pi-\theta\right)  and  sin(πθ)\sin\left(\pi-\theta\right)  

 (0.87,0.50)\left(0.87,0.50\right)  

 (0.87, 0.50)\left(-0.87,\ 0.50\right)  

 (0.87, 0.50)\left(0.87,\ -0.50\right)  

 (0.87,0.50)\left(-0.87,-0.50\right)  

Tags

CCSS.HSF.TF.C.9

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