Page 4 Memorization Quiz

Question 1

Write the polar equations for r and theta in terms of x and y:

Answer 1

r = radical (x^2 + y^2)
theta = tan^-1 (y/x)

Question 2

Write the two general forms of rose curves

Answer 2

r = asin(ntheta)
r = acos(ntheta)

Question 3

if n is odd

Answer 3

n = number of petals

Question 4

if n is even

Answer 4

2n = number of petals

Question 5

Write the two limacon equations r, in terms of sine and cosine

Answer 5

r = a+-bcostheta
r = a+-bsintheta

Question 6

For the limacon equations, state the relationship between a and b that determines the following information
inner loop present
heart shape (cardiod)
dented
max radius
min radius

Answer 6

(all absolute values)
a < b
a = b
a > b
a + b
a - b

Question 7

Sketch each parent function
sinx
cosx
tanx
e^x
lnx
arcsinx
arccosx
arctanx

Answer 7

:(

Question 8

what trig functions are positive in Q2 of the unit circle

Answer 8

sine, cosecant

Question 9

what trig functions are positive in Q3 of the unit circle

Answer 9

tangent, cotangent

Question 10

what trig functions are positive in Q4 of the unit circle

Answer 10

cosine, secant