Evaluate Without Using a Calculator $\sec \beta$ , If $\sin \beta = - \frac { 5 } { 10 }$

question 243

Multiple Choice

Evaluate without using a calculator.
- $\sec \beta$ , if $\sin \beta = - \frac { 5 } { 10 }$ and $\tan \theta > 0$

• A) \(\frac { \sqrt { 10 } } { 5 }\)
• B) \(- \frac { 10 \sqrt { 75 } } { 75 }\)
• C) \(- \frac { \sqrt { 75 } } { 10 }\)
• D) \(- \frac { 5 \sqrt { 75 } } { 75 }\)

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Definitions:

Habituation Study

A habituation study is a type of research in which the response to a stimulus decreases with repeated exposure, used to investigate the processes of learning and memory.

Anthropologist

A scientist who studies human societies, cultures, and their development through practices such as observation, field work, and analysis.

Specific Form

A particular shape, variant, or version of something with distinct characteristics.

General Structure

A broad and encompassing framework or organization of components that establishes the form or nature of something.