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What is the Cartesian form of #(12,(14pi)/3))#?

Answer 1

Elijah Abram

x: -6
y: 10.39

Use conversion formula:

#x = r cos(theta)#

#y = r sin(theta)#

Whadaya know, the cosine of #(14 pi)/3 = -0.5#, so the x coordinate is 12 * -0.5 = -6

the sine of this angle is 0.866, so the y coordinate is 12 * 0.866 = 10.39

GOOD LUCK

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Answer 2

Evelyn Agard

The Cartesian form of the point ( (r, \theta) ) given in polar coordinates is: [ (x, y) = (r \cos(\theta), r \sin(\theta)) ]

For the point ( (12, \frac{14\pi}{3}) ), we have: [ x = 12 \cos\left(\frac{14\pi}{3}\right) ] [ y = 12 \sin\left(\frac{14\pi}{3}\right) ]

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Answer from HIX Tutor

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