Question 1197786
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sin = sine
cos = cosine
sec = secant
tan = tangent


tan = sin/cos
sec = 1/cos


Since tangent is positive, this means sin/cos is positive.
This further means one of the the following (pick one)
<ul><li>sin > 0 and cos > 0 (quadrant I)</li><li>sin < 0 and cos < 0 (quadrant III)</li></ul>We also know secant is negative, which makes 1/cos negative and cosine is also negative.
Recall that 
x = cos(theta)
If cosine is negative then we're to the left of the y axis in either quadrant II or quadrant III.
But we know we're not in quadrant II because of the previous info mentioned. We must be in quadrant III.


I recommend reviewing a unit circle.



Answer: C. III
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