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Babydoll
Babydoll asked in Science & MathematicsMathematics · 2 years ago

Please help me with my Trigonometry?

For questions 1-6, transform each polar equation an equation in rectangular coordinates identify its shape.

1. r = 6

2. θ = π / 6

3. rsinθ = 3

4. r = 2cosθ

5. rcscθ = 5

6. r = (4 / (2cosθ - 3sinθ)

2 Answers

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  • ?
    Lv 6
    2 years ago

    r = 6, θ = π/6

    x = rcosθ

    y = rsinθ

    x = 6cosπ/6, y = 6sinπ/6

    x = 6 x √3/2, y = 6 x ½

    x = 3√3, y = 3

    x² + y² = (3√3)² + (3)²

    x² + y² = 36

    tan⁻¹(y/x) = tan⁻¹(3/3√3)

    = tan⁻¹(1/√3)

    = tan⁻¹(tanπ/6)

    θ = π/6.

    Source(s): http://myrank.co.in/
  • alex
    Lv 7
    2 years ago

    1/

    x^2 + y^2 = 36

    2/

    y = x/√3 , x>0

    3/

    y=3

    4/

    x^2+y^2 = 2x

    5/

    x^2+y^2=5y

    5/

    2x-3y=4

    Rules

    x= rcosθ

    y= rsinθ

    r^2 = x^2+y^2

    tanθ = y/x

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