Use the Fundamental Identities to Find the Value of the Trigonometric

question 47

Multiple Choice

Use the fundamental identities to find the value of the trigonometric function.
-Find $\tan \theta$ , given that $\sec \theta = \frac { 9 } { 4 }$ and $\theta$ is in quadrant IV.

• A) \(- \frac { \sqrt { 65 } } { 4 }\)
• B) \(- \frac { 9 } { 4 }\)
• C) \(- \sqrt { 65 }\)
• D) \(- \frac { \sqrt { 65 } } { 9 }\)

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Definitions:

Eyes

Organs of vision that detect light and convert it into electro-chemical impulses in neurons, allowing for sight.

Hallucinations

False sensory experiences, such as seeing something in the absence of an external visual stimulus.

Sensory Stimulus

A signal to which an organism responds, originating from external or internal environments.

Circadian Rhythm

The innate process that controls the cycle of sleeping and waking, which naturally repeats about every 24 hours.