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Example Questions
Example Question #1 :Convert Polar Equations To Rectangular Form And Vice Versa
Convert from polar form to rectangular form:
Start by multiplying both sides by.
Keep in mind that
Remember that
So then,
Now, complete the square.
Example Question #1 :Convert Polar Equations To Rectangular Form And Vice Versa
Convert the polar equation to rectangular form:
Start by multiplying both sides by.
Remember that
Keep in mind that
So then,
Now, complete the square.
This is a graph of a circle with a radius ofand a center at
Example Question #3 :Convert Polar Equations To Rectangular Form And Vice Versa
Convert the polar equation into rectangular form:
Remember that
So thenbecomes
Now, multiply both sides byto get rid of the fraction.
Sincethe rectangular form of this equation is
Example Question #4 :Convert Polar Equations To Rectangular Form And Vice Versa
Convert the polar equation into rectangular form:
Start by using the double angle formula for.
Substitute that into the equation gives the following:
Because we needandto getandrespectively, multiply both sides by.
Now, recall that.
Example Question #5 :Convert Polar Equations To Rectangular Form And Vice Versa
Convert the polar equation to rectangular form:
Start by taking the tangent.
Recall that
Example Question #1 :Convert Polar Equations To Rectangular Form And Vice Versa
Convert the polar equation to rectangular form:
Start by taking the tangent.
Recall that
Example Question #6 :Convert Polar Equations To Rectangular Form And Vice Versa
Convert the polar equation to rectangular form:
Recall that
Substituting this into the given equation gives
Multiply both sides byto get rid of the fraction.
Recall thatand that
Example Question #7 :Convert Polar Equations To Rectangular Form And Vice Versa
Convert the polar equation into rectangular form:
Recall thatand
Multiply both sides by
Recall thatand
Example Question #1 :Convert Polar Equations To Rectangular Form And Vice Versa
Convert the polar equation into rectangular form:
Recall that
并不gging this into the equation gives us
Multiply both sides byto get rid of the fraction.
Recall that
So then the rectangular form of the equation is
Example Question #1 :Convert Polar Equations To Rectangular Form And Vice Versa
Convert the polar equation into rectangular form.
Recall that
Multiply both sides byto get rid of the fraction.
Recall that.