Using a Sum or Difference Identity, Write the Following as an Expression

question 83

Multiple Choice

Using a sum or difference identity, write the following as an expression involving functions of x.
-Find $\sin \frac { \theta } { 2 }$ , given that $\sin \theta = - \frac { 3 } { 5 }$ and $\theta$ terminates in $270 ^ { \circ } < \theta < 360 ^ { \circ }$ .

• A) \(- \frac { \sqrt { 30 } } { 10 }\)
• B) \(\frac { \sqrt { 10 } } { 10 }\)
• C) \(\frac { \sqrt { 5 } } { 5 }\)
• D) \(- \frac { \sqrt { 5 } } { 5 }\)

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Definitions:

Pruritus

The medical term for itching, a common skin condition that can be a symptom of various diseases.

Pediculosis Capitis

A common parasitic infestation of the scalp caused by head lice, leading to itchiness and discomfort.

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A sensation on the skin that causes the desire or reflex to scratch the affected area.

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Inflammation of the lymphatic channels, typically resulting from a bacterial infection, and leading to red, painful streaks under the skin.