Question #6452494Fill in the Blank
Algebra-2
Question
Given the cosine function, , the value of is __________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to evaluate the cosine function at specific angles using the unit circle.
This problem assesses the ability to evaluate the cosine function at specific angles using the unit circle.
Key Concept Explanation
The cosine function, , can be evaluated using the unit circle. The angle corresponds to a point in the third quadrant where the x-coordinate (cosine value) is negative.
The cosine function, , can be evaluated using the unit circle. The angle corresponds to a point in the third quadrant where the x-coordinate (cosine value) is negative.
Step-by-step Solution
1. Identify the reference angle for , which is .
2. In the third quadrant, the cosine value is negative.
3. The cosine of the reference angle is
1. Identify the reference angle for , which is .
2. In the third quadrant, the cosine value is negative.
3. The cosine of the reference angle is
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