For questions 1-5, the polar coordinates of a point are given. find the rectangular coordinates of each point.

1. (5,(π / 4))

2. (-2,(π / 6))

3. (-π / 3))

4. (3,225°)

5. (-3,330°)

QUESTION 1

We want to convert from polar coordinates to rectangular coordinates.

We use the formula;

We plug in and to obtain;

The rectangular coordinate is

QUESTION 2

We want to convert from polar coordinates to rectangular coordinates.

We use the formula;

We plug in and to obtain;

The rectangular coordinate is

QUESTION 3

We want to convert from polar coordinates to rectangular coordinates.

We use the formula;

We plug in and to obtain;

The rectangular coordinate is

QUESTION 4

We want to convert from polar coordinates to rectangular coordinates.

We use the formula;

We plug in and to obtain;

The rectangular coordinate is

QUESTION 5

We want to convert from polar coordinates to rectangular coordinates.

We use the formula;

We plug in and to obtain;

The rectangular coordinate is

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Step-by-step explanation:

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