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

question 60

Multiple Choice

Find the point $( x , y )$ on the unit circle that corresponds to the real number t. $$t = \frac { \pi } { 3 }$$

• A)\(t = \frac { \pi } { 3 }\) corresponds to the point \(\left( - \frac { \sqrt { 3 } } { 2 } , - \frac { 1 } { 2 } \right)\).
• B) \(t = \frac { \pi } { 3 }\) corresponds to the point \(\left( \frac { \sqrt { 3 } } { 2 } , - \frac { 1 } { 2 } \right)\).
• C) \(t = \frac { \pi } { 3 }\) corresponds to the point \(\left( \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)\).
• D) \(t = \frac { \pi } { 3 }\) corresponds to the point \(\left( \frac { \sqrt { 3 } } { 2 } , \frac { 1 } { 2 } \right)\).
• E) \(t = \frac { \pi } { 3 }\) corresponds to the point \(\left( \frac { 1 } { 2 } , - \frac { \sqrt { 3 } } { 2 } \right)\).

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Definitions:

Ion Channels

Proteins that form pores in cell membranes, allowing the selective passage of ions across the membrane and influencing the cell's electrical charge and signaling.

Dopamine

A neurotransmitter in the brain that plays a key role in controlling movement, emotional responses, and the brain's reward and pleasure centers.

Parkinson Disease

A neurodegenerative disorder that affects predominately dopamine-producing neurons in a specific area of the brain, leading to symptoms like tremors, stiffness, and difficulty with balance and coordination.