Unit 6b

Question 1

Conversion (cartesian to polar) r=

Answer 1

sq. rt. (x^2+Y^2)

Question 2

Conversion (Cartesian to polar) theta=

Answer 2

arctan (y/x)

Question 3

Conversion (polar to cartesian) x=

Answer 3

rcostheta

Question 4

Conversion (polar to cartesian) y=

Answer 4

rsintheta

Question 5

testing for symmetry across x-axis

Answer 5

(r, -theta) or (-r, pi-theta)

Question 6

testing for symmetry across y-axis

Answer 6

(-r, -theta) or (r, pi-theta)

Question 7

testing for symmetry through origin

Answer 7

(-r, theta) or (r, theta+pi)

Question 8

what is euler’s formula?

Answer 8

cis(theta) = e^(i*theta

Question 9

how do you convert from euler’s formula to a+bi form?

Answer 9

Just take the cos and sin!

Question 10

What do you always need in complex exponential form?

Answer 10

An “I” in the exponent

Question 11

What are the three forms a point in the complex plane can be in?

Answer 11

CIS, magnitude direction, exponential complex