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On a Unit Circle, the cosine is the x coordinate of the point on the circle represented by an angle. Angles greater than 90° (pi/2 radians) and less than 270° (3*pi/2 radians) are to the left of the y-axis, so x is negative.
Quadrant I is the upper right quadrant (x positive, y positive) 0° < ɵ < 90°
Quadrant II is the upper left quadrant (x negative, y positive) 90° < ɵ < 180°
Quadrant III is the lower left quadrant (x negative, y negative) 180° < ɵ < 270°
Quadrant IV is the lower right quadrant (x positive, y negative) 270° < ɵ < 360°
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In what quadrant is cosine negative and cotangent negative?
The second quadrant (top left).
Which quadrant would an answer be in if tan was positive and sin was negative?
The third quadrant.
In which quadrant are both x and y negative?
The third (or SouthWest) quadrant.
What quadrant is negative 145?
Assuming the question is about negative 145 DEGREES, even though the question does not say so, the answer is the third quadrant.
Is tan theta in the 3rd quadrant negative?
In the third quadrant, both the x and y coordinates are negative. Since tangent is defined as the ratio of the opposite side to the adjacent side in a right triangle, in the third quadrant where both sides are negative, the tangent of an angle theta will be positive. Therefore, tan theta is not negative in the third quadrant.
