For the polar point (-4, -\frac{3 \pi}{4})a) Give alternate coordinates

Question

For the polar point (-4, -\frac{3 \pi}{4})a) Give alternate coordinates

SchachtN 2021-09-29 Answered

For the polar point $(- 4, - \frac{3 π}{4})$
a) Give alternate coordinates with $r > 0$ and $- 2 π \leq θ < 0$ .
b) Give alternate coordinates with $r < 0$ and $0 \leq θ < 2 π$ .
c) Give alternate coordinates of your choice.

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Expert Answer

Willie

Answered 2021-09-30 Author has 95 answers

Step 1
Given:

P (- 4, - \frac{3 π}{4})

a)

(- 4, - \frac{3 π}{4}) = (4, - \frac{3 π}{4} + π)

= (4, \frac{π}{4})

So,

(- 4, - \frac{3 π}{4}) = (4, \frac{π}{4})

Step 2
b)

(- 4, - \frac{3 π}{4}) = (- 4, - \frac{3 π}{4} + 2 π)

= (- 4, - \frac{5 π}{4})

So,

(- 4, - \frac{3 π}{4}) = (- 4, \frac{5 π}{4})

c)

(- 4, - \frac{3 π}{4}) = (4, - \frac{3 π}{4} + 3 π)

= (4, \frac{9 π}{4})

So,

(- 4, - \frac{3 π}{4}) = (4, \frac{9 π}{4})

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Jeffrey Jordon

Answered 2021-10-29 Author has 2027 answers

Answer is given below (on video)

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For the polar point (-4, -\frac{3 \pi}{4})a) Give alternate coordinates

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