SOLUTION: Find an equivalent equation in rectangular coordinates. r(cos θ

SOLUTION: Find an equivalent equation in rectangular coordinates. r(cos θ - sin θ) = 5

Question 1043550: Find an equivalent equation in rectangular coordinates.
r(cos θ - sin θ) = 5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We'll use these identities
Identity 1:
Identity 2:

Original equation

Distribute the 'r' through

Use identity #1 (see above)

Use identity #2 (see above)

So transforms into which is in rectangular form. This is a linear equation in standard form. If you wish to convert to slope intercept form, then solve for y to get

Add y to both sides

Subtract 5 from both sides

So is equivalent to

Depending on how your teacher wants the answer, the final answer is either or it is
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SOLUTION: Find an equivalent equation in rectangular coordinates. r(cos &#952; - sin &#952;) = 5

SOLUTION: Find an equivalent equation in rectangular coordinates. r(cos θ - sin θ) = 5