Question #6452469Fill in the Blank
Algebra-2
Question
The value of is __________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of sine values at specific angles and their periodicity.
This problem assesses the understanding of sine values at specific angles and their periodicity.
Key Concept Explanation
The sine function, , is periodic with a period of . The value of can be determined by recognizing its position on the unit circle.
The sine function, , is periodic with a period of . The value of can be determined by recognizing its position on the unit circle.
Step-by-step Solution
1. Identify the angle on the unit circle.
2. Recognize that , which places it in the third quadrant.
3. In the third quadrant, the sine of an angle is negative.
4. The reference angle for
1. Identify the angle on the unit circle.
2. Recognize that , which places it in the third quadrant.
3. In the third quadrant, the sine of an angle is negative.
4. The reference angle for
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