How do you convert # (12,.75) # to rectangular form?

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Answer 1 · 2018-07-19T12:29:36

Rectangular coordinates are #color(cyan)((8.18, 8.78)#

#r = 12, theta = 0.75^c#

#x^2 + y^2 = r^2, x/y = tan theta#

#x^2 + y^2 = 144#

#x / y = tan (0.75) = 0.9316, x = 0.9316 y#

#(0.9316y)^2 + y^2 = 144#

#0.8679y^2 + y^2 = 144#

#y^2 = (144 / 1.8679)#

#y ~~ 8.78#

#x = 0.9316 * 8.78 ~~ 8.18#