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The Cartesian coordinates of a point in the xy plane are (-3.4, -2.3). Find the polar coordinates of the point. r = 410 e = o counterclockwise from the +x-axis

The Cartesian coordinates of a point in the xy plane are (-3.4, -2.3). Find the polar coordinates of the point. r = 410 e = o counterclockwise from the +x-axis

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Smail Maps YouTube Translate Microsoft Office Ho... Check You: Paper f... Solve inequalities w... "Use 0 = tan Katarina is correct. Note that Dacia must use the signs of x and y to find on which quadrant the point lies. Part 9 of 10 -Analyze The friends are ready to try a few problems. The Cartesian coordinates of a point in the xy plane are (-3.4, -2.3). Find the polar coordinates of the point. r = 4,10 o counterclockwise from the +x-axis Submit Skip (you cannot come back) Need Help? Read It /1 Points] DETAILS
Transcribed Image Text:Smail Maps YouTube Translate Microsoft Office Ho... Check You: Paper f... Solve inequalities w... "Use 0 = tan Katarina is correct. Note that Dacia must use the signs of x and y to find on which quadrant the point lies. Part 9 of 10 -Analyze The friends are ready to try a few problems. The Cartesian coordinates of a point in the xy plane are (-3.4, -2.3). Find the polar coordinates of the point. r = 4,10 o counterclockwise from the +x-axis Submit Skip (you cannot come back) Need Help? Read It /1 Points] DETAILS
A webassign.net/web/Student/Assignment-Responses/submit?dep=263123668tags=autosave#question4036946 0 M Gmail Maps YouTube Translate O Microsoft Office Ho... Check You: Paper f. Solve inequalities w. They can click and drag the black point at the outer end of the brown line to various points in the xy plane and see how its Cartesian and polar coordinates change in the readouts at the bottom. Note that 0 is defined as the angle measured in a direction counterclockwise from the positive x-axis. y (m) x (m) y =|-2,50| m -3.50 | m sin e- -0.58 4.30 m cos e = -0.81 216 degrees tan e- 0.71 Click bere to onen the simulation in a new window hp
Transcribed Image Text:A webassign.net/web/Student/Assignment-Responses/submit?dep=263123668tags=autosave#question4036946 0 M Gmail Maps YouTube Translate O Microsoft Office Ho... Check You: Paper f. Solve inequalities w. They can click and drag the black point at the outer end of the brown line to various points in the xy plane and see how its Cartesian and polar coordinates change in the readouts at the bottom. Note that 0 is defined as the angle measured in a direction counterclockwise from the positive x-axis. y (m) x (m) y =|-2,50| m -3.50 | m sin e- -0.58 4.30 m cos e = -0.81 216 degrees tan e- 0.71 Click bere to onen the simulation in a new window hp
Expert Solution
Step 1

Plane Polar Coordinates

In-plane polar coordinate system, the position of a point in space is represented by the length of the vector joining the origin with the point and the angle the vector makes with the X axis. 

Advanced Physics homework question answer, step 1, image 1

Let P be the point in space. The position of P is represented by the coordinates r, θ. The x and y coordinates of the point is represented as

x=rcosθy=rsinθ

Thus squaring and adding we get

x2+y2=rcosθ2+rsinθ2⇒r2sin2θ+cos2θ=x2+y2⇒r=x2+y2

Dividing the two equations we get

tanθ=yx⇒θ=tan-1yx

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