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What is the Cartesian form of #( -4 , (-3pi)/4 ) #?

Answer 1

Aurora Alvarado

#(2sqrt2,2sqrt2)#

#(r,theta)to(x,y)=>(rcostheta,rsintheta)#

#x=rcostheta=-4cos(-(3pi)/4)=2sqrt2#

#y=rsintheta=-4sin(-(3pi)/4)=2sqrt2#

#(-4,-(3pi)/4)->(2sqrt2,2sqrt2)#

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Answer 2

Emma Aldridge

The Cartesian form of the point ( (-4, -\frac{3\pi}{4}) ) is ( (-4\cos(\frac{3\pi}{4}), -4\sin(\frac{3\pi}{4})) ), which simplifies to ( (2\sqrt{2}, -2\sqrt{2}) ).

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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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