HPC Polars Quiz

Which point represents (2, π/6)

• F

• E

• B

• A

Which point represents (3, 3π/4)?

• F
• E
• B
• A

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

Which equation represents the polar graph?

• r = sin θ
• r = sin 4θ
• r = 4 sin θ
• r = 4 cos θ

Which equation represents the polar graph?

• r = 6 + 6 sin θ
• r = 12 sin θ
• r = 4 - 3 sin θ
• r = 4 + 5 sin θ

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.5

If  $r\ne0$  which of the following polar coordinate pairs represents the same point as the point with the polar coordinates  $\left(r,\theta\right)$  ?

•  $\left(-r,\theta\right)$  

•  $\left(-r,\theta+2\pi\right)$  

•  $\left(r,\theta+\pi\right)$  

•  $\left(-r,\theta+3\pi\right)$  

Which of the following polar coordinate pairs does NOT represent the point with rectangular coordinates (-2, -2)?

• $\left(2\sqrt{2},\ \frac{5\pi}{4}\right)$

• $\left(-2\sqrt{2},\ \frac{-7\pi}{4}\right)$

• $\left(-2\sqrt{2},\ \frac{3\pi}{4}\right)$

• $\left(-2\sqrt{2},\ \frac{\pi}{4}\right)$

Convert to polar form: x = 3

• $r=3$

• $r\cos\theta=3$

• $r\sin\theta=3$

• $\cos\theta=3$

Convert to polar form:   $x^2+y^2-4x=0$  

•  $r\sin^2\theta=4\cos\theta$  

•  $r\cos^2\theta=4\sin\theta$  

•  $r=4\cos\theta$  

•  $r=4\sin\theta$  

Convert to rectangular form: $\theta=-\frac{\pi}{3}$  

•  $y=-\sqrt{3}x$  

•  $y=\sqrt{3}x$  

•  $y=-\frac{\sqrt{3}}{3}x$  

•  $y=\frac{\sqrt{3}}{3}x$  

Use DeMoivre's Theorem to find:  $z^6$ if  $z=3\left(\cos\left(\frac{2\pi}{3}\right)+i\ \sin\left(\frac{2\pi}{3}\right)\right)$  

•  $-364.5+364.5\sqrt{3}i$  

• 18

•  $-9+9\sqrt{3}$  

• 729