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What is the Cartesian form of #(100,(17pi)/16))#?

Answer 1

The given point is in polar coordinates #(r,theta)# form and the cartesian coordinates are obtained by #(rcos(theta),rsin(theta))# The working is given below.

#(100,(17pi)/16)# #r=100# and #theta=(17pi)/16#

#x=rcos(theta) # and #y=rsin(theta)#

#x=100cos((17pi)/16)# and #y=100sin((17pi)/16)#

The cartesian form is

#(100cos((17pi)/16),100sin((17pi)/16))#

We can find approximate value using calculator and that works out to be

#(-98.0785, -19.5090)# Answer

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Answer 2

Luke Alvarez

The Cartesian form of the point (100, (17π)/16) in polar coordinates is approximately (0.193, 99.981).

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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.