Find $\sin \theta$ Given That $\sec \theta = 4$ And $0 < \theta < \frac { \pi } { 2 }$

question 53

Multiple Choice

Find $\sin \theta$ given that $\sec \theta = 4$ and $0 < \theta < \frac { \pi } { 2 }$ .

• A) \(4\)
• B) \(\sqrt { 15 }\)
• C) \(\frac { \sqrt { 15 } } { 4 }\)
• D) \(\frac { 1 } { \sqrt { 15 } }\)
• E) \(\frac { 1 } { 16 }\)

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Definitions:

Negatively Linearly Related

A relationship between two variables where an increase in one variable results in a decrease in the other, represented by a downward sloping line on a graph.

Linear Relationship

A linear relationship describes a straight-line relationship between two variables, where a change in one variable is proportional to a change in the other.

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true, commonly denoted as alpha.

Sunshine

The light and warmth that comes from the sun, essential for life on Earth and influencing weather and climate.