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°
The second quadrant (top left).
The third quadrant.
The third (or SouthWest) quadrant.
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.
Assuming the question is about negative 145 DEGREES, even though the question does not say so, the answer is the third quadrant.
The second quadrant (top left).
It will be in 3rd Quadrant because cosine and sine both are negative in 3rd Quadrant
All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.
The third quadrant.
negative negative bottom left
The third (or SouthWest) quadrant.
The coordinates must be as follows: First quadrant: positive, positive Second quadrant: negative, positive Third quadrant: negative, negative Fourth quadrant: positive, negative
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.
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.
Assuming the question is about negative 145 DEGREES, even though the question does not say so, the answer is the third quadrant.
Any ordered pair in the third quadrant has negative x and y values. So (-1,-1), for example, is the third quadrant.
A 240-degree angle is an obtuse angle that measures more than 180 degrees but less than 270 degrees. It is located in the third quadrant of the Cartesian coordinate system, where both the sine and cosine values are negative. In terms of rotation, a 240-degree angle can be visualized as a clockwise turn from the positive x-axis, passing through the second quadrant and into the third quadrant.