Yes.. See related link for an example.
Y = - 2X - 3 Plot this and see that a line with a negative slope can go through quadrant III.
It can be positive, negative, or zero, depending where else the line passes through.
Quadrant I: x positive, y positive. Quadrant II: x negative, y positive. Quadrant III: x negative, y negative. Quadrant II: x positive, y negative.
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The tangent function is equal to the sine divided by the cosine. In quadrant III, both sin and cos are negative - and a negative divided by another negative is positive. Thus it follows that the tangent is positive in QIII.
Quadrants I and III. In Quadrant I, the values are both positive. In Quadrant III, the values are both negative.
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Quadrant I: Top Right: x positive, y positive Quadrant II: Top Left: x negative, y positive Quadrant III: Bottom Left: x negative, y negative Quadrant IV: Bottom Right: x positive, y negative
-1560 Mod 360 = 4 | 120-120 degrees lies in quadrant III (negative x and negative y)
The top left quadrant is II (2) (x is negative, y is positive) The top right quadrant is I (1) (x is positive, y is positive) The bottom left quadrant is III (3) (x is negative, y is negative) The bottom right quadrant is IV (4) (x is positive, y is negative)
y is positive in quadrants I and II and negative in III and IV.
Any ordered pair in the third quadrant has negative x and y values. So (-1,-1), for example, is the third quadrant.