Transform the polar equation to an equation in rectangular c
Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the equation theta = pi/3
Solution
given theta = pi / 3
we know x = r cos (theta ) and y = r sin(theta )
and tan (theta ) = y / x -------> (1 )
substitute theta = pi / 3 in (1 )
tan ( pi / 3 ) = y / x
therefore y / x = sqrt(3)
equation is y = x sqrt(3)
it is a line like y = mx + c
