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What is the Cartesian form of #(10,(17pi)/3)#?

Answer 1

Christopher Agresta

#( 5 , -5sqrt(3))#

Using:

#x=rcostheta# and #y=rsintheta#

Cartesian coordinate will be:

#(rcostheta , rsintheta)#

#x=10cos((17pi)/3)=5#

#y=10sin((17pi)/3)=-5sqrt(3)#

Cartesian coordinates:

#( 5 , -5sqrt(3))#

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Answer 2

Evelyn Agard

The Cartesian form of the point ( \left(10, \frac{17\pi}{3}\right) ) is ( (10\cos(\frac{17\pi}{3}), 10\sin(\frac{17\pi}{3})) ), which simplifies to ( (-5, -5\sqrt{3}) ).

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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.

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