Convert to Polar Coordinates (9,-9)

Problem

(9,−9)

Solution

1. Identify the given rectangular coordinates (x,y) where x=9 and y=−9

2. Calculate the radial coordinate r using the formula r=√(,x2+y2)

r=√(,9+(−9)2)

r=√(,81+81)

r=√(,162)

r=9√(,2)

3. Determine the angular coordinate θ using the formula tan(θ)=y/x

tan(θ)=(−9)/9

tan(θ)=−1

4. Identify the quadrant of the point (9,−9) Since x>0 and y<0 the point lies in Quadrant IV.

5. Find the value of θ in Quadrant IV where tan(θ)=−1

θ=(7*π)/4

Final Answer

(9,−9)=(9√(,2),(7*π)/4)

Want more problems? Check here!