Check the solution to "What is the Cartesian form of (6,−π6)?"

Janiyah Higgins

Answered question

2022-02-02

What is the Cartesian form of

(6, - \frac{π}{6})

sigcinweq0s

Beginner2022-02-03Added 19 answers

Polar coordinates

(r, θ)

are equivalent to Cartesian Coordinates

(r \cos θ, r \sin θ)

Hence polar coordinates

(6, - \frac{π}{6})

are equivalent to Cartesian Coordinates

(6 \times \cos (- \frac{π}{6}), 6 \times \sin (- \frac{π}{6}))

i.e.

(6 \times \cos (\frac{π}{5}), 6 \times - \sin (\frac{π}{6}))

(6 \times \frac{\sqrt{3}}{2}, - 6 \times \frac{1}{2})

(3 \sqrt{3}, - 3)

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