Find the Polar Equation for the Curve Represented by the Given

question 60

Multiple Choice

Find the polar equation for the curve represented by the given Cartesian equation. Select the correct answer.
$x + y = 2$

• A) \(r = 2 ( \cos \theta + \sin \theta )\)
• B)
• \(r = \frac { 1 } { \cos \theta - \sin \theta }\)
• C)
• \(r = \frac { 2 } { \cos \theta + \sin \theta }\)
• D)
• \(r = \frac { 2 } { \cos \theta - \sin \theta }\)
• E) \(r = 1 ( \cos \theta + \sin \theta )\)

---

Definitions:

Compounded Semi-annually

A method of computing interest where the interest is calculated and added to the principal twice a year.

Periodic Interest Rate

The interest rate applied to a loan or investment over a specific period of time, less frequently than annually.

Compounded Monthly

The method of calculating interest where the accrued interest is added to the principal sum each month, leading to interest on interest the following month.

Periodic Rate

Periodic rate is the interest rate applied to a financial product over a specific period, which could be daily, monthly, or quarterly, rather than annually.