Convert to Polar Coordinates ( square root of 3,1)

Problem

(√(,3),1)

Solution

1. Identify the given Cartesian coordinates (x,y) where x=√(,3) and y=1

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

r=√(,(√(,3))2+1)

r=√(,3+1)

r=√(,4)

r=2

3. Calculate the angle θ using the formula tan(θ)=y/x

tan(θ)=1/√(,3)

4. Determine the quadrant to find the correct value of θ Since both x and y are positive, the point is in the first quadrant.

θ=arctan(1/√(,3))

θ=π/6

Final Answer

(√(,3),1)⇒(2,π/6)

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