Converting Coordinates from Polar to Rectangular

Key Questions

• Are there more than one way to convert Polar to Rectangular coordinates?

  Answer:

  All Polar #rarr# Rectangular coordinate conversions are based on the definitions of #sin# and #cos#:
  #color(white)("XXX")sin(theta)=y/rcolor(white)("XXX")cos(theta)=x/r#

  Explanation:

  There may be many ways to visualize the conversion of Polar to Rectangular coordinates. Sometimes (depending upon the values of #r# or #theta#) it is easier or faster to see this conversion graphically or in some other form, but in the end it comes back to the relationship between #x, y, r, and theta# as defined by the trigonometric functions.
  
  (I assume here that we are dealing only with Real values of #x, y, r, and theta#).

  Alan P. · 1 · Jan 14 2016
• What is the formula for converting polar coordinates to rectangular coordinates?

  Answer:

  #y = r sin theta, x = r cos theta#

  Explanation:

  

  Polar coordinates to rectangular conversion :

  #y = r sin theta, x = r cos theta#

  sankarankalyanam · 1 · Jul 9 2018

• What is the formula for converting polar coordinates to rectangular coordinates?
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• How do I convert polar coordinates #(3.6, 56.31)# to rectangular coordinates?
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• How do I convert polar coordinates #(4,-pi/3)# to rectangular coordinates?
• How do I convert polar coordinates #(6, 60^circ)# to rectangular coordinates?
• How do I convert polar coordinates #(-4, 230^circ)# to rectangular coordinates?
• What is the Cartesian equivalent of polar coordinates #(sqrt97, 66^circ)#?
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• Are there more than one way to convert Polar to Rectangular coordinates?
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• How do you convert the polar coordinate (-2,5pi/4) into cartesian coordinates?
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• How do you convert the polar coordinate ( 11.3991 , -0.5856 )into cartesian coordinates?
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• How do you convert the polar coordinate (4, 315) into cartesian coordinates?
• How do you convert the polar coordinate (-2, 0.5236) into cartesian coordinates?
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• How do you convert the polar coordinate (2, pi/4) into cartesian coordinates?
• How do you convert the polar coordinate (1, pi) into cartesian coordinates?
• How do you convert #(2, pi/4)# into rectangular coordinates?
• How do you convert #(4, 0)# into polar coordinates?
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• How do you convert #(18,-7)# into polar coordinates?
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• How do you find the rectangular coordinate of #(0,0)#?
• How do you find the rectangular coordinate of # (-4, pi/3)#?
• How do you find the rectangular coordinate of #(0, pi/6)#?
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• What are the rectangular coordinates of #(3, -π/3)#?
• How do you write the rectangular coordinates for the point: (4, 3π/2)?
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• How do you convert #((5, -4pi/3))# into rectangular forms?
• How do you convert #(3, 2pi/3)# into rectangular forms?
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• How do you find the rectangular coordinate of the following point (5,300)?
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• Question #9cc39
• Question #a0503
• What does the polar equation #cos2theta=1# represent?
• Question #104ce
• Simplify #1/sqrt2(cos45^@-isin45^@)^5# in the form #a+ib# using De Moivre's theorem?
• What is the cartesian equation for the polar curve # r = 2sin theta - 4cos theta #?
• Question #899bb