Convert to Rectangular Coordinates (2,p)

Problem

(2,π)

Solution

1. Identify the given polar coordinates (r,θ) where r=2 and θ=π

2. Apply the formula for the xcoordinate, which is x=r*cos(θ)

3. Substitute the values into the x formula:

x=2*cos(π)

4. Evaluate the cosine function:

x=2*(−1)=−2

5. Apply the formula for the ycoordinate, which is y=r*sin(θ)

6. Substitute the values into the y formula:

y=2*sin(π)

7. Evaluate the sine function:

y=2*(0)=0

Final Answer

(2,π)⇒(−2,0)

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