Question

Find cartesian coordinates whose polar coordinates are (3,90°).​

Answer 1

Answer:

Here, r = 3 and θ = 90°. Let the cartesian coordinates be (x, y). ∴ the cartesian coordinates of the given point are (0, 3).

Answer 2

The cartesian coordinates whose polar coordinates is (3 , 90°) is (0,3)

Given :

The polar coordinates of a point is (3 , 90°)

To find :

The cartesian coordinates of the point

Concept :

If (r,θ) is polar coordinates of a cartesian coordinates (x, y) then

x = r cos θ , y = r sin θ

Solution :

Step 1 of 2 :

Write down the given polar coordinates

Here it is given that polar coordinates of a point is (3 , 90°)

Then we have r = 3 , θ = 90°

Step 2 of 2 :

Find cartesian coordinates of the point

Let (x, y) be the cartesian coordinates of the point

Then we have

x = r cos θ = 3 cos 90° = 0

y = r sin θ = 3 sin 90° = 3

Hence cartesian coordinates whose polar coordinates is (3 , 90°) is (0,3)

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