Math (Calculus)

Given any Cartesian coordinates, (x,y), there are polar coordinates (r,theta) with –pi/2< theta < pi/2.
Find polar coordinates with –pi/2 < theta < pi/2 for the following Cartesian coordinate:
If (x,y) = (11,–7) then (r, theta)=( ____, _____ )

I was able to find r using r^2=x^2 + y^2, but I can't find theta. I found r to be 170^(1/2). I then tried using x= r*cos(theta), plugged in x=11 and r= 170^(1/2) and got theta = inverse cos (11/170^(1/2)), but that's not the correct answer. However my answer for r is correct. Any help would be very much appreciated, and thank you in advance! a detailed explanation would be nice since I still have several problems similar to this one to do :)

  1. 👍 0
  2. 👎 0
  3. 👁 184
  1. nvm i got it

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. calc 3

    Use polar coordinates to find the limit. [If (r, θ) are polar coordinates of the point (x, y) with r ≥ 0, note that r → 0+ as (x, y) → (0, 0).] (If an answer does not exist, enter DNE.) lim (x, y)→(0, 0) [(3e^−x^2−

  2. Math (Polar to Cartesian Equations)

    Convert the given polar equation to a Cartesian equation. r^2=4sec(theta)csc(theta)

  3. trig

    If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.

  4. Math (Trig)

    Convert the Cartesian coordinate (-1,2) to polar coordinates, 0≤θ

  1. Calculus

    A circle C has center at the origin and radius 9. Another circle K has a diameter with one end at the origin and the other end at the point (0,17). The circles C and K intersect in two points. Let P be the point of intersection of

  2. Calc

    Find the cartesian coordinates of the following points given in polar coordinates. b. (2 rt2, 3pi/4) I cant figure this one out

  3. Precalculus

    Every point in the plane has exactly two polar coordinates. A)The statement is true because every point in the plane has a unique polar representation. B)The statement is false because left parenthesis r comma theta right

  4. Trig (math)

    1.) Find all solutions of the equation. Leave answers in trigonometric form. x^2 + 1 - sqrt3i = 0 2.) Give the rectangular coordinates for the point. (9, 2pi/3) 3.) The rectangular coordinates of a point are given. Express the

  1. maths

    The rectangular coordinates of a point are given (-5,-5root3). Find polar coordinates of the point. Express theta in radians. Answer must be in form ​(Type an ordered pair. Type an exact answer in terms of pi.Use integers or

  2. math

    The polar coordinates of a point P are (2,240 degrees). The Cartesian (rectangular) coordinates of P are

  3. Calc 2

    Find a Cartesian equation for the polar curve y = 5tan(theta)sec(theta). I think I got it but I just wanted to double check. Thanks in advance!

  4. Pre-Calculus

    Which is the polar form of the parametric equations x=5cos(theta) and y=5sin(theta) ? a. r= 5(theta) b. r= 5 c. r= 25 cos (theta) sin (theta)***** d. r= 25cos^2 (theta) + 25sin^2 (theta) Which is the polar form of the parametric

You can view more similar questions or ask a new question.