Find the Polar Coordinates of the Point(s) of Intersection of the Given

question 422

Multiple Choice

Find the polar coordinates of the point(s) of intersection of the given curves for 0 ≤ θ < 2π.
- $$\mathrm { r } = 4 \cos \theta , \mathrm { r } = - 1 + 2 \cos \theta$$

• A) \(\left( 2 , \frac { 5 \pi } { 6 } \right) , \left( 2 , \frac { \pi } { 6 } \right)\)
• B) \(\left( 2 , \frac { 2 \pi } { 3 } \right) , \left( 2 , \frac { 4 \pi } { 3 } \right)\)
• C) \(\left( - 2 , \frac { 5 \pi } { 3 } \right) , \left( - 2 , \frac { \pi } { 3 } \right)\)
• D) \(\left\{ 2 , \frac { 2 \pi } { 3 } \right) , \left( - 2 , \frac { 4 \pi } { 3 } \right)\)

---

Definitions:

Synthesizes

The process of combining different ideas, influences, or objects into a coherent whole.

Worldview

The fundamental cognitive orientation of an individual or society encompassing natural philosophy, existential beliefs, and values.

Reflective Practice

The process of self-examination and evaluation of one's experiences and actions in order to improve professional practice or personal effectiveness.

Helping Professional

An individual in fields such as psychology, counseling, or social work who provides support and assistance to people in need.