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

question 83

Multiple Choice

Find the point $( x , y )$ on the unit circle corresponding to the real number $t = \frac { 11 \pi } { 6 }$ .

• 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) \(\left( \frac { \sqrt { 2 } } { 2 } , \frac { \sqrt { 2 } } { 2 } \right)\)

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Definitions:

Gonads

Gonads are the primary reproductive organs, with ovaries present in females and testes in males, responsible for producing gametes and hormones.

Gametogenesis

The process by which gametes are produced in the reproductive organs, involving meiosis to produce haploid sex cells.

Haploid Cells

Cells that contain one complete set of chromosomes, typical of gametes (sperm and eggs) in sexually reproducing organisms.

Functional Gametes

Mature sexual reproductive cells (sperm in males and ova in females) that are capable of fusing with another gamete to form a zygote.