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Daniela E
Daniela E asked in Science & MathematicsMathematics · 2 years ago

Convert (-5,2) to polar coordinates?

6 Answers

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  • Como
    Lv 7
    2 years ago

    r² = 25 + 4

    r² = 29

    r = √29

    tan ∅ = - 2/5

    ∅ = 180° - 21•8 °

    ∅ = 158•2°

    Point √29 /_158•2°

  • Engr. Ronald
    Lv 7
    2 years ago

    (-5,2)

    r = √(x^2 + y^2)

    r = √[(-5)^2 + 2^2]

    r = 5.385

    solving for the angle..

    θ = tan^(-1) = y/x = 2/(-5) = 158.19°

    Source(s): https://www.wolframalpha.com/input/?i=convert++(-5...
  • Mike G
    Lv 7
    2 years ago

    r^2 = 25+4

    r = √29

    θ = arctan(-2/5) = 158.2°

    (√29,158.2°)

  • ?
    Lv 7
    2 years ago

    Rule

    point (a,b)

    to polar [r, θ] , with

    r = √ (a^2+b^2)

    θ = cos^-1 (a/r) , if a<0

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  • Ash
    Lv 7
    2 years ago

    If cartesian coordinate is (x,y) then polar is (r,θ), where

    r = √(x²+y²) and θ=tan⁻¹(y/x)

    For (-5,2) polar coordinate is (√29,158.2°)

    r = √((-5)²+2²) and θ=tan⁻¹(2/-5)

    r = √29 and θ = 158.2° ( in 2nd quadrant)

  • Φ² = Φ+1
    Lv 7
    2 years ago

    r = √((-5)² + 2²) = √29 so

    (-5,2) = ( √29, atan2(2, -5) ) polar ≈ (5.385, 158.2°) polar

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