Convert to Rectangular Coordinates (5,pi/2)

Problem

(5,π/2)

Solution

1. Identify the given polar coordinates (r,θ) where r=5 and θ=π/2

2. Apply the formula for the xcoordinate using x=r*cos(θ)

3. Substitute the values to find x

x=5*cos(π/2)

x=5*(0)

x=0

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

5. Substitute the values to find y

y=5*sin(π/2)

y=5*(1)

y=5

6. State the rectangular coordinates in the form (x,y)

Final Answer

(5,π/2)=(0,5)

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