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Babydoll
Babydoll asked in Science & MathematicsMathematics · 2 years ago

Please help me with my Trigonometry?

1. The polar coordinates of a point are given. Find the rectangular coordinates of each point.

(a) (5, π/4)

(b) (-2, π/6)

2. The rectangular coordinates of a point are given. Find the polar coordinates of each point.

(a) (4, 0)

(b) (0, 3)

3 Answers

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  • ?
    Lv 7
    2 years ago

    1.

    (a) (5, pi/4)

    x=5cos(pi/4)=5sqr(2)/2

    y=5sin(pi/4)=5sqr(2)/2

    Ans. (5sqr(2)/2, 5sqr(2)/2)

    (b)

    (-2, pi/6)

    x=-2cos(pi/6)=-sqr(3)

    y=-2sin(pi/6)=-1

    Ans. (-sqr(3),-1)

    2.

    (a) (4,0)

    r=4

    angle=0

    Ans. (4,0)

    (b)

    (0,3)

    r=3

    angle=pi/2

    Ans. (3, pi/2)

  • ?
    Lv 7
    2 years ago

    1)

    a) (5/√2,5/√2)

    b) (-√3,-1)

    2)

    a) (4,0)

    b) (3,π/2)

  • billrussell42
    Lv 7
    2 years ago

    x = 5 cos (π/4)

    y = 5 sin (π/4)

    r = √(4² + 0²)

    θ = arctan (0/4)

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