Convert to Rectangular Coordinates (-6,(3pi)/2)

Problem

(−6,(3*π)/2)

Solution

1. Identify the given polar coordinates (r,θ) where r=−6 and θ=(3*π)/2

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

3. Substitute the values into the x equation: x=−6*cos((3*π)/2)

4. Evaluate the cosine function: cos((3*π)/2)=0 so x=−6*(0)=0

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

6. Substitute the values into the y equation: y=−6*sin((3*π)/2)

7. Evaluate the sine function: sin((3*π)/2)=−1 so y=−6*(−1)=6

Final Answer

(−6,(3*π)/2)=(0,6)

Want more problems? Check here!