mathematics

convert (-sqrt2, -sqrt6) to polar coordinates with
r > 0 and 0 ≤ θ < 2π.

  1. 👍 0
  2. 👎 0
  3. 👁 60
  1. tanθ = -√6/-√2 = √3 , where θ is in quad III
    θ = 180°+60° = 240° or 4π/3 radians
    r = √(-√2)^2 + (-√6)^2) = √8

    (-sqrt2, -sqrt6) <-----> (√8, 4π/3)

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−

    asked by Becky on September 17, 2012
  2. PreCal

    A surveyor records the polar coordinates of the location of a landmark as (40, 62°). What are the rectangular coordinates? Round each coordinate to the nearest hundredth.

    asked by Jack on September 3, 2011
  3. Math

    1)Find the standard deviation of the data set to the nearest tenth. (21,13,18,16,13,35,12,8,15) A)16.8 B)7.8 C)7.3 D)5.7 I chose C mean = 21+13+18+16+13+35+12+8+15/9 16.8 variance = (21-16.8)^2 = 17.64...did that with the rest and

    asked by Jon on February 23, 2008
  4. pre-calc help

    Convert the rectangular coordinates to polar coordinates with r > 0 and 0 ≤ θ < 2π. (9, −9) (r, θ) = ?

    asked by Anonymous on November 27, 2013
  5. Algebra II

    Find the exact value of cos 375 degrees. Answer: (sqrt6 + sqrt2)/4 Is this correct?

    asked by Lucy on April 19, 2008
  1. Pre-Calculus-check answers

    Use a sum or difference identity to find the exact value of sin 255 degrees Answer: sqrt6-sqrt2/4 Thanks

    asked by Lucy on August 30, 2008
  2. Trig

    Convert the following equation from an equation using polar coordinates to an equation using rectangular coordinates: 6sinθ=r-5cosθ a.) 6y=-5x b.) x^2-6x+y^2-5y=0 c.) x^2-5x+y^2-6y=0 d.) x^2+6x+y^2+5y=0 e.) x^2+5x+y^2+6y=0 f.)

    asked by Ted on September 4, 2019
  3. math

    I have to find an exact solutions on the interval [0,pi) for both of these problems-- 1) 2sin2x = sqrtx and 2) 1-2sqrt2 sinxcosx = 0 I know this much: 1) sin2x = (sqrt x)/2 = 2sinxcosx = (sqrt x)/2 What do I need to do next? 2)

    asked by kristie on August 1, 2006
  4. Calculus

    Convert the polar equation to rectangular coordinates: r = 2-cos theta ...and find all points of vertical and horizontal tangency.

    asked by Liz on April 16, 2013
  5. trig

    Given the polar coordinates of a point, how do I find the rectangular coordinates? (2, 3pi/4) (-4, 7pi/6) (2/3, -2pi/3) Given the rectangular coordinates of a point, how do I find the polar coordinates? (4, 0) (3, 4) (2, -2)

    asked by BT on March 1, 2010
  6. math

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

    asked by Anonymous on June 13, 2013

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