Convert to Rectangular Coordinates (1,pi/2)

Problem

(1,π/2)

Solution

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

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

x=1⋅cos(π/2)

3. Evaluate the cosine function, noting that cos(π/2)=0

x=1⋅0=0

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

y=1⋅sin(π/2)

5. Evaluate the sine function, noting that sin(π/2)=1

y=1⋅1=1

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

Final Answer

(1,π/2)=(0,1)

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