How can I convert the polar equation #theta=4pi/3# in rectangular form?

1 Answer
Douglas K.
Apr 25, 2018

Given: #theta=4pi/3#

Take the tangent of both sides:

#tan(theta) = tan(4pi/3)#

Substitute #tan(theta) = y/x#:

#y/x = tan(4pi/3)#

Multiply both sides by x:

#y = tan(4pi/3)x#

Substitute #tan(4pi/3) = sqrt3#:

#y = sqrt3x#

The above is rectangular form.

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