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 using x=r*cos(θ)

x=2*cos(−π)

3. Evaluate the cosine function, noting that cos(−π)=−1

x=2*(−1)

x=−2

4. Apply the formula for the ycoordinate using y=r*sin(θ)

y=2*sin(−π)

5. Evaluate the sine function, noting that sin(−π)=0

y=2*(0)

y=0

6. Combine the results into the rectangular coordinate pair (x,y)

Final Answer

(2,−π)⇒(−2,0)

Want more problems? Check here!