Θ = π/2 Convert the polar equation to rectangular form. ?

1 Answer
Mar 30, 2018

#x = 0#

Explanation:

Given: #theta = pi/2#

Substitute this into the equations:

#x = rcos(theta)# and #y = rsin(theta)#

#x = rcos(pi/2)# and #y = rsin(pi/2)#

#x = 0# and #y = r #

Substitute #r = sqrt(x^2+y^2)#

#x = 0# and #y = sqrt(x^2+y^2)#

Substitute #x = 0#

#x = 0# and #y = sqrt(0 + y^2) = y#

#x = 0 and y = y# is the vertical line #x=0#