Convert the Rectangular Equation to Polar Form $x ^ { 2 } + y ^ { 2 } - 3 a y = 0$

question 281

Multiple Choice

Convert the rectangular equation to polar form.Assume a > 0, r > 1. $x ^ { 2 } + y ^ { 2 } - 3 a y = 0$

• A) \(r = 3 a \sin \theta\)
• B) \(r = 3 a \cot \Theta\)
• C) \(r = 3 a \cos \theta\)
• D) \(r = 3 \operatorname { asec } \theta\)
• E) \(r = 3 \operatorname { acsc } \theta\)

---

Definitions:

Research Studies

Systematic investigations designed to develop or contribute to generalizable knowledge through careful collection and analysis of data.

Personality Research

The scientific study focused on understanding variations in individuals' thoughts, feelings, and behaviors and how these differences relate to psychological processes.

Extraversion

A personality trait characterized by outgoingness, sociability, and a tendency to seek stimulation in the company of others.

Nature-Nurture Debate

A longstanding discussion concerning the relative importance of an individual's innate qualities versus personal experiences in determining or causing differences in physical and behavioral traits.