Find the Exact Value Of $\sin \left( \frac { 5 \pi } { 2 } \right)$

question 7

Multiple Choice

Find the exact value of $\sin \left( \frac { 5 \pi } { 2 } \right)$ and $\text {cos} \left( - \frac { 5 \pi } { 2 } \right)$

• A) \(\sin \left( \frac { 5 \pi } { 2 } \right) = \frac { 5 } { 2 }\), \(\mathrm { cos } \left( - \frac { 5 \pi } { 2 } \right) = \frac { 3 } { 2 }\)
• B) \(\sin \left( \frac { 5 \pi } { 2 } \right) = - 1\), \(\cos \left( - \frac { 5 \pi } { 2 } \right) = 0\)
• C) \(\sin \left( \frac { 5 \pi } { 2 } \right) = 0\), \(\cos \left( - \frac { 5 \pi } { 2 } \right) = - 1\)
• D) \(\sin \left( \frac { 5 \pi } { 2 } \right) = 1\), \(\cos \left( - \frac { 5 \pi } { 2 } \right) = 0\)
• E) \(\sin \left( \frac { 5 \pi } { 2 } \right) = - 1\), \(cos \left( - \frac { 5 \pi } { 2 } \right) = 1\)

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Definitions:

Unipolar Depression

A mental health disorder highlighted by a pervasive low mood, lack of motivation, and loss of pleasure in previously enjoyed activities.

Onset

The beginning or start of something, such as a disease, symptom, or process.

Cognitive Symptom

Symptoms related to mental processes such as memory, attention, and problem-solving, often indicative of neurological or psychiatric conditions.

Unipolar Depression

A major depressive disorder characterized by a persistent feeling of sadness or a lack of interest in outside stimuli, without the mood swings seen in bipolar disorder.