We want to write an equation that represents the polar form of:
x - y = 0.
We will see that the correct option is b, the polar form is given by:
θ = pi*/4
First, polar form is a way to write equations using radius and angle as variables, instead of the known x and y that we usually use.
To change the variables we have the general rule:
R = √(x^2 + y^2)
θ = Atan(y/x)
So here we have:
x - y = 0.
Then we can write this as:
x = y.
Then the angle is given by:
θ = Atan(y/x) = Atan(x/x) = Atan(1) = 45°
Writing this in radians we get:
45° = 45°*(pi/180°) = pi*/4
Then we have:
θ = pi*/4
Then the equation that represents the polar form is:
θ = pi*/4
From this, we can see that the correct option is b.
If you want to learn more, you can read:
https://brainly.com/question/20864390
