Question

In: Math

For the following exercises, find the polar coordinates of the point.

For the following exercises, find the polar coordinates of the point. 

Solutions

Expert Solution

Consider the figure provided in the exercise:

 

Determine the polar coordinate for the point as follows:

Firstly, move in the anticlockwise direction from the polar axis till the point is found keeping the track of the angle traversed. This gives the value of θ.

So, here, the value of θ is π/2 + π/4 = 3π/4.

 

Then measure the distance of the point from the pole along the direction of θ measured in the previous step. This gives the value of r.

So, here, the value of r is 3 units.

The polar coordinates of a point are of the form (r, θ).

 

Therefore the polar coordinates of the given point are (3, 3π/4).


Therefore the polar coordinates of the given point are (3, 3π/4).

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