Answer:
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Step-by-step explanation:
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Method A: 7.6666.... = 7 + 0.6666... = 7 + 2/3 = 21/3 + 2/3 = 23/3
Method B: 10(7.666...) - 1(7.666...) = 76.666... - 7.666... = 69.000...
(10 - 1)(7.666...) = 69
7.666... = 69/9 = 23/3
Considering that the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.
<h3>What are the signs of the sine and of the cosine in each quadrant?</h3>
- Quadrant 1: Both positive.
- Quadrant 2: Sine positive, cosine negative.
- Quadrant 3: Both negative.
- Quadrant 4: Sine negative, cosine positive.
Hence, since the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.
More can be learned about quadrants at brainly.com/question/28021191
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