SOLUTION: Write the following polar equations in Cartesian form. a) {{{r^2}}}= 7 b) θ = 4pi/3 c) θ = 7pi/4 d) r = cosθ

SOLUTION: Write the following polar equations in Cartesian form. a) {{{r^2}}}= 7 b) θ = 4pi/3 c) θ = 7pi/4 d) r = cosθ

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Question 1157772: Write the following polar equations in Cartesian form.
a) = 7
b) θ = 4pi/3
c) θ = 7pi/4
d) r = cosθ

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

a)

using the formulae that link Polar to Cartesian coordinates:

-> rectangular form

b)

Take the tangent of both sides:

Substitute

Multiply both sides by :

Substitute

-> rectangular form

c)

-> rectangular form

d)

using the formulae that link Polar to Cartesian coordinates:

and
for this question given : =>
multiply both sides by : => =>
=> -> rectangular form

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