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15 December, 11:10

Determine two pairs of polar coordinates for (4,4) when 0° < θ < 360°

a (4√2, 45°), (-4√2, 225°)

b (4√2, 315°), (-4√2, 135°)

c (4√2, 135°), (-4√2, 315°)

d (4√2, 225°), (-4√2, 45°)

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  1. 15 December, 14:35
    0
    Answer: option a.

    Step-by-step explanation:

    In polar coordinates we have that:

    x = r*cos (θ)

    y = r*sin (θ)

    we know that x = 4 and y = 4. now let's analyze the options:

    a) x = 4√2*cos (45°) = 4 nice.

    y = - 4√2*sin (225°) = 4 nice

    Option a is correct

    b) x = 4√2*cos (315°) = 4 nice

    y = - 4√2*sin (135°) = - 4 incorrect

    option b is not correct

    c) x = 4√2*cos (135°) = - 4 incorrect

    Option c is not correct

    d) x = 4√2*cos (225°) = - 4 incorrect

    option d is not correct
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