Converting from Polar Notation to Rectangular Notation and BACK

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Converting from Polar Notation to Rectangular
Notation and BACK

• By Naomi Scharf and Mackenzie Rumburg

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Polar to Rectangular..
r
y
theta
x

• The sin of theta is equal to the y divided by
  r
• The cos of thata is equal to the x divided by
  r
• Solve both equations and you have the coordinates
  (x,y) which is rectangular notation

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Rectangular to Polar..
r
y
theta
x

• The tan of theta is equal to the y over x
• The sin of theta is equal to y over r
• Solve for theta in the first equation and r
  in the second equation to get (r,theta) which is
  polar notation

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Example Polar to Rectangular

• (20,90deg)
• Sin90y/20
• Cos90x/20
• Y20, X0
• The answer is rectangular notation is (0,20)

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Example Rectangular to Polar

• (5,10)
• Tan(theta)10/5
• Theta63.4
• Sin63.410/r
• R11.2
• The answer in polar notation is (11.2,63.4deg)

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Practice ProblemPolar to Rectangular

• (7,180deg)

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Answer Polar to Rectangular

• (-7,0)

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Practice Problem Rectangular to Polar

• (20,6)

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Answer Rectangular to Polar

• (1.7,16.7deg)