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What is the Cartesian form of #(100,(7pi )/12)#?

Answer 1

#x=rcostheta#
#y=rsintheta#

First, note that #(7pi)/12# is in Quadrant II which means the x-coordinate will be negative and the y-coordinate positive .

Using the identity above ...

#x=100cos((7pi)/12)~~-25.88# #y=100sin((7pi)/12)~~96.59#

Cartesian Form: #(-25.88,96.59)#

hope that helped

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Answer 2

William Abdalla

The Cartesian form of the point ((100, \frac{7\pi}{12})) in polar coordinates is approximately ((45.0, 45.0)) in Cartesian coordinates.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.