If the terminal side of angle \( \theta \) goes through the point \( \left( -\frac{3\sqrt{13}}{13}, \frac{2\sqrt{13}}{13} \right) \) on the unit circle, then what is \( \cos(\theta) \)? Give an exact answer in the form of a fraction. Provide your answer below: \[ \cos(\theta) = \boxed{} \]

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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If the terminal side of angle \( \theta \) goes through the point \( \left( -\frac{3\sqrt{13}}{13}, \frac{2\sqrt{13}}{13} \right) \) on the unit circle, then what is \( \cos(\theta) \)? 

Give an exact answer in the form of a fraction.

Provide your answer below:

\[ \cos(\theta) = \boxed{} \]
Transcribed Image Text:If the terminal side of angle \( \theta \) goes through the point \( \left( -\frac{3\sqrt{13}}{13}, \frac{2\sqrt{13}}{13} \right) \) on the unit circle, then what is \( \cos(\theta) \)? Give an exact answer in the form of a fraction. Provide your answer below: \[ \cos(\theta) = \boxed{} \]
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