SOLUTION: Convert the given Cartesian coordinates to polar coordinates with r > 0, 0 ≤ 𝜃 ≤ 2𝜋. Remember to consider the quadrant in which the given point is located. (2, 2)

Algebra ->  Trigonometry-basics -> SOLUTION: Convert the given Cartesian coordinates to polar coordinates with r > 0, 0 ≤ 𝜃 ≤ 2𝜋. Remember to consider the quadrant in which the given point is located. (2, 2)      Log On


   

Question 1204929: Convert the given Cartesian coordinates to polar coordinates with
r > 0, 0 ≤ 𝜃 ≤ 2𝜋. Remember to consider the quadrant in which the given point is located.
(2, 2)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!



given point:
(2, 2)
convert to polar coordinates with
r+%3E+0, 0+%3C=+theta+%3C=+2pi

find r using formula:
r=sqrt%28x%5E2%2By%5E2%29
r=sqrt%282%5E2%2B2%5E2%29
r=sqrt%282%2A2%5E2%29
r=2sqrt%282%29


theta=tan%5E-1%28y%2Fx%29
theta=tan%5E-1%282%2F2%29
theta=tan%5E-1%281%29
theta=pi%2F4

since given point is in Q+I, solution is theta=pi%2F4

so, polar coordinates are (r, theta)=(2sqrt%282%29, pi%2F4)