Question

z1= sqrt2-sqrt 2i, z2 = 1 − i
Write z1 and z2in polar form. (Express θ in radians. Let 0 ≤ θ < 2π.)Find the product
z1z2and the quotients z1/z2 and 1/z1
. (Express your answers in polar form with θ expressed in radians.)

Answer 1

Each polar point is a distance and an angle

remember to relate cartesian rectangular coord to the polar , use a right triangl

the x coord would be distance times cos(angle)
y coord will be the distance times cos(angle)

Answer 2

x = r*cos(angle)
y = r* sin(angle)

Answer 3

the angle that line makes with the +x axis is the same as the tangent of the ratio of y/x

tan(angle)=y/x

Answer 4

you can write complex numbers in polar form the same as usual

z = a + b*i

Answer 5

a is x coordinate
b is y coord