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

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Answer 1 · 2018-07-19T12:29:36

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

$r = 12, theta = 0.75^c$

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

$x^2 + y^2 = 144$

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

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

$0.8679y^2 + y^2 = 144$

$y^2 = (144 / 1.8679)$

$y ~~ 8.78$

$x = 0.9316 * 8.78 ~~ 8.18$

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