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

1 Answer
Karthik G
Dec 25, 2015

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.

Explanation:

#(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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