What is the Cartesian form of #( 2 , ( - 15pi)/2 ) #?

Answer 1

Christopher Allers

#( 0 , 2)#

For polar coordinates we have: #(r,theta)#

For Cartesian coordinates we have #(x,y)#

#x=rcos(theta)#

#y=rsin(theta)#

#x=2cos((-15pi)/2)=0#

#y=2sin((-15pi)/2)=2#

#:.#

Cartesian coordinates:

#( 0 , 2)#

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Answer 2

Evelyn Agard

The Cartesian form of the point (2, (-15π)/2) is (2, -7.5π).

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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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