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Which polar coordinates represent the same point as (4, −𝜋/2)? (Select all that apply.)?

Which polar coordinates represent the same point as (4, −𝜋/2)? (Select all that apply.)

(−4, −3𝜋/2)

(4, −9𝜋/2)

(4, 5𝜋/2)

(−4, −𝜋/2)

(4, 3𝜋/2)

(−4, 𝜋/2)

3 Answers

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  • Alvin
    Lv 4
    1 month ago
    Favorite Answer

    a way to check the answer is 

    convert all answer to rectangular coordinates 

    (4, -pi/2 ) =      in cartesian coordinates is (0, -4) 

    remember  

    x = r(cos(x)) 

    y = r(sin(x)) 

    so 

    (4 , -pi/2)  = (4*cos(-pi/2) , 4* sin(-pi/2)) = (0,-4)   

    (-4, -3pi/2)  = (-4*cos( -3pi/2),  -4*sin(-3pi.2) = (0,-4) 

    (4, -9pi/2 ) = (4*cos(-9pi/2), 4*sin(-9pi/2) ) = (0,-4) 

    (4, 3pi/2 ) = (4*cos(3pi/2) , 4*sin(3pi/2) ) = (0,-4)  

  • 1 month ago

     Which polar coordinates represent the same point as (4, −𝜋/2)? 

     (Select all that apply.)

     (−4, −3𝜋/2)

     (4, −9𝜋/2)                                 ✔

     (4, 5𝜋/2)

     (−4, −𝜋/2)

     (4, 3𝜋/2)

     (−4, 𝜋/2)

  • Alan
    Lv 7
    1 month ago

    See image. Yahoo hid it  

    Attachment image
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