What is the Cartesian form of #( 12, (-7pi)/2 ) #?

Answer 1

So Cartesian coordinate=#(0,12)#

If Cartesian or rectangular coordinate of a point be (x,y) and its polar polar coordinate be #(r,theta)#

then #x=rcostheta and y= rsintheta# here #r=12 and theta =-7pi/2# #x= 12*cos(-7pi/2)= 12*cos(7pi/2)= 12*sin(4pi-pi/2)# #=12cos(pi/2)=0# #y= 12*sin(-7pi/2)= -12*cos(7pi/2)# #= -12*sin(4pi-pi/2)=12sin(pi/2=12#

So Cartesian coordinate=#(0,12)#

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Answer 2

Cameron Alexander

The Cartesian form of the point (12, (-7π)/2) is (12, 0) since the second coordinate (-7π)/2 represents a rotation of -π/2 radians, which is equivalent to 0 radians or 0 degrees in the Cartesian coordinate system. Therefore, the point remains on the positive x-axis.

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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.