Find the Point $( x , y )$ On the Unit Circle Corresponding to the Real Number

question 70

Multiple Choice

Find the point $( x , y )$ on the unit circle corresponding to the real number $t = - \frac { 7 \pi } { 6 }$ .

• A) \(\left( \frac { 1 } { 2 } , - \frac { \sqrt { 3 } } { 2 } \right)\)
• B) \(\left( - \frac { \sqrt { 3 } } { 2 } , \frac { 1 } { 2 } \right)\)
• C) \(\left( \frac { \sqrt { 3 } } { 2 } , - \frac { 1 } { 2 } \right)\)
• D) \(\left( - \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)\)
• E) \(\left( - \frac { \sqrt { 2 } } { 2 } , - \frac { \sqrt { 2 } } { 2 } \right)\)

---

Definitions:

Pareto Efficiency

A rephrased definition: An economic condition where resources cannot be redistributed to benefit someone without adversely affecting others.

Golf Club

A facility equipped for playing golf, often including a course with 18 holes and a clubhouse.

Tennis Racket

A sporting good used to strike a tennis ball in the game of tennis, typically consisting of a handled frame with an open hoop across which a network of strings is stretched.

Perfectly Competitive System

A market structure where many firms offer a homogeneous product or service, with no single company influencing the market price.