Evaluate (If Possible)the Sine,cosine,and Tangent of the Real Number $t = \frac { 25 \pi } { 3 }$

question 18

Multiple Choice

Evaluate (if possible) the sine,cosine,and tangent of the real number.​ $t = \frac { 25 \pi } { 3 }$ ​

• A) \(t = \frac { 25 \pi } { 3 }\) corresponds to the point \(( x , y ) = \left( \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)\) . \(\begin{array} { l }
• \sin \left( \frac { 25 \pi } { 3 } \right) = - \frac { 1 } { 2 } \\
• \cos \left( \frac { 25 \pi } { 3 } \right) = \frac { \sqrt { 3 } } { 2 } \\
• \tan \left( \frac { 25 \pi } { 3 } \right) = - \sqrt { 3 }
• \end{array}\)
• B) \(t = \frac { 25 \pi } { 3 }\) corresponds to the point \(( x , y ) = \left( \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right)\) . \(\begin{array} { l }
• \sin \left( \frac { 25 \pi } { 3 } \right) = \frac { \sqrt { 3 } } { 2 } \\
• \cos \left( \frac { 25 \pi } { 3 } \right) = \frac { 1 } { 2 } \\
• \tan \left( \frac { 25 \pi } { 3 } \right) = \sqrt { 3 }
• \end{array}\)
• C) \(t = \frac { 25 \pi } { 3 }\) corresponds to the point \(( x , y ) = \left( - \frac { 1 } { 2 } , - \frac { \sqrt { 3 } } { 2 } \right)\) . \(\begin{array} { l }
• \sin \left( \frac { 25 \pi } { 3 } \right) = - \frac { 1 } { 2 } \\\\
• \cos \left( \frac { 25 \pi } { 3 } \right) = - \frac { \sqrt { 3 } } { 2 } \\\\
• \tan \left( \frac { 25 \pi } { 3 } \right) = \frac { \sqrt { 3 } } { 3 }
• \end{array}\)
• D) \(t = \frac { 25 \pi } { 3 }\) corresponds to the point \(( x , y ) = \left( \frac { 1 } { 2 } , - \frac { \sqrt { 3 } } { 2 } \right)\) . \(\begin{array} { l }
• \sin \left( \frac { 25 \pi } { 3 } \right) = - \frac { 1 } { 2 } \\\\
• \cos \left( \frac { 25 \pi } { 3 } \right) = \frac { \sqrt { 3 } } { 2 } \\\\
• \tan \left( \frac { 25 \pi } { 3 } \right) = - \frac { \sqrt { 3 } } { 3 }
• \end{array}\)
• E)Not possible

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Definitions:

Stage 2

In the context of sleep studies, the second stage of the sleep cycle, characterized by the presence of sleep spindles and K complexes, marking a deeper level of sleep than Stage 1.

Per Second

A rate of change or action expressed as a unit measured within one second.

Alert

The state of being watchful and fully aware, often in preparation for or response to potential dangers or important news.

Waking State

A state of consciousness where an individual is fully awake and aware of their environment, as opposed to being asleep or in a dream state.