Question 1

Graph the equation: $r = 1 -\sin 	heta$

Question 2

Graph the equation: $r = 1 +2\cos 	heta$

Question 3

Graph the equation: $r = 2\cos (2	heta)$

Question 4

identify each polar equation  Cardioid $r = a \pm a \cos 	heta$ or $r = a \pm a \sin 	heta$:Lemniscate $r ^{2}= a^{2} \cos (2	heta)$ or $r ^{2}= a^{2} \sin (2	heta)$: Limaçon without inner loop a>b>0 $r = a \pm b \cos 	heta$ or $r = a \pm b \sin 	heta$: Limaçon with inner loop b>a>0 $r = a \pm b \cos 	heta; $ or $r = a \pm b \sin 	heta$ : Rose $r= a \cos (n	heta)$ or $r = a\sin (n	heta)$

Question 5

Convert the polar coordinates of $(-6, \frac{\pi}{6})$ to its rectangular coordinates

Question 6

Convert the polar coordinates of $(2,-60^{\circ})$ to its rectangular coordinates

Question 7

Find polar coordinates $(r, 	heta)$ of the point P with $r>0$ and $0 \le 	heta \le 2\pi$ whose rectangular coordinates are $(x, y)$ = $(- 2 \sqrt{3}, 2)$.

Question 8

Convert the equation to polar form  $x^2+y^2-5y=0$

Question 9

Convert each polar equation to a rectangular equation and identify its graph $r=2\cos 	heta-6 \sin 	heta$

Question 10

Convert each polar equation to a rectangular equation and identify its graph $	heta =60^{\circ}$

Question 11

Matching

Question 12

Suppose ABC is a right triangle with sides a, b, and c and the right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B.
$a=8$,  $c=17$

Question 13

For sinusoidal graphs of the form       $y=7sin(2\pi x-3)+4$

Question 14

For sinusoidal graphs of the form       $y=5cos(4x+\pi)-1$

Question 15

$f^{-1}(x)=tan^{-1}x$

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