What is the Cartesian form of #(24,(15pi)/6))#?

1 Answer
SagarStudy
Dec 28, 2015

The Cartesian form of #(24,(15pi)/6)# is #(0,24).#

Explanation:

Consider the figure. In this figure the angle is 22.6 but in our case enter image source here

Let the Cartesian form of #(24,(15pi)/6)# be #(x,y).#
Consider the figure. From figure:

#Cos((15pi)/6)=x/24#

#impliesx=24Cos((15pi)/6) =24(0)=0#
#impliesx=0#
Also from figure:

#Sin((15pi)/6)=y/24#
#impliesy=24Sin((15pi)/6)=24(1)=24#
#implies y=24#

Therefore the Cartesian form of #(24,(15pi)/6)# is #(0,24).#

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