The Terminal Side of θ Lies on the Line $- 15 x - 8 y = 0$

question 22

Multiple Choice

The terminal side of θ lies on the line $- 15 x - 8 y = 0$ in the fourth quadrant.Find the exact value of $\cos \theta$ .

• A) \(\cos \theta = \frac { 8 } { 17 }\)
• B) \(\cos \theta = \frac { 8 } { 25 }\)
• C) \(\cos \theta = \frac { 25 } { 52 }\)
• D) \(\cos \theta = \frac { 17 } { 8 }\)
• E) \(\cos \theta = \frac { 25 } { 17 }\)

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Definitions:

Left Hemisphere

The left side of the brain, typically associated with logical reasoning, analytical tasks, and language processing.

Specialization for Language

The brain's unique ability to develop and understand language, a capacity that is often attributed to specific regions like the left hemisphere's Broca and Wernicke areas.

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fMRI

Functional Magnetic Resonance Imaging, a brain scanning technique that measures and maps brain activity through changes in blood flow.