There is no such angle, since the sine of an angle cannot be greater than 1.
It is both because above the origin it is positive and below the origin it is negative
It 2-dimensional coordinate geometry, angles are measured from the origin, relative to the positive direction of the x-axis and they increase in the anti-clockwise direction. As a result, small positive angles are in the first quadrant, and as the angle size increases it moves into the second, third and fourth quadrants.
( 45, 67 ) The quadrants of a Cartesian plane are numbered starting in the top-right, and moving around the origin in a counter-clockwise fashion. This means that all of the coordinates in the first quadrant have a positive x value, and a positive y value. So, any pair of positive numbers will guarantee a coordinate in the first quadrant.
It doesn't. Its a matter of interpretation. When drawing the unit circle, we start at x=1, y=0. As we draw, maintaining a radius of 1 from the origin at x=0, y=0, we proceed counter-clockwise. Initially, both x and y are positive. That is quadrant 1. When x becomes negative at x=0, y=1, that is quadrant 2. When y becomes negative at x=-1, y=0, that is quadrant 3. And when x becomes positive again at x=0, y=-1, that is quadrant 4. So you see, its all in the perspective of which comes first, and in trigonometry, the vector where theta = 0 comes first, not where your eye just happens to scan from left to right.
The one to the lower left of the origin.
-1
Third quadrant. From the origin (0,0) and on the positive x-axis. Move an arrow/line clockwise from this axis by 135 degrees. The first 90 degrees are in the bottom right (4th)quandrant. The next 90 degrees(to 180 degrees ; includes 135) will be in the bottom left (3rd) quadrant. NB From the positive x-axis ,moving anti-clockwise about the origin the angles are positive. When moving clockwise from the same axis the angles are negative.
Divide the graph into 4 parts and each part is a quadrant. Traditionally, we use the x and y axis to divide it. The portion of the graph with positive x and y coordinates is the first quadrant, The second has positive y values and negative x values, while the third quadrant has both negative x and negative y values. The last is the fourth quadrants which is below the first quadrant. It has positive x values and negative y values. If you made the origin, the point (0,0) the center of a clock, the first quadrant is between 3 and 12 and the second between 12 and 9, the third between 9 and 6 and the fourth between 12 and 3.
It is both because above the origin it is positive and below the origin it is negative
It 2-dimensional coordinate geometry, angles are measured from the origin, relative to the positive direction of the x-axis and they increase in the anti-clockwise direction. As a result, small positive angles are in the first quadrant, and as the angle size increases it moves into the second, third and fourth quadrants.
( 45, 67 ) The quadrants of a Cartesian plane are numbered starting in the top-right, and moving around the origin in a counter-clockwise fashion. This means that all of the coordinates in the first quadrant have a positive x value, and a positive y value. So, any pair of positive numbers will guarantee a coordinate in the first quadrant.
It doesn't. Its a matter of interpretation. When drawing the unit circle, we start at x=1, y=0. As we draw, maintaining a radius of 1 from the origin at x=0, y=0, we proceed counter-clockwise. Initially, both x and y are positive. That is quadrant 1. When x becomes negative at x=0, y=1, that is quadrant 2. When y becomes negative at x=-1, y=0, that is quadrant 3. And when x becomes positive again at x=0, y=-1, that is quadrant 4. So you see, its all in the perspective of which comes first, and in trigonometry, the vector where theta = 0 comes first, not where your eye just happens to scan from left to right.
The point of origin is not in any quadrant. In fact, any point on the X or Y axis is not in a quadrant. In order for a point to be in Q1, Q2, Q3 or Q4, it must not be on an axis.
The origin.
They are the First Quadrant, the Second Quadrant, the Third Quadrant, and the Fourth Quadrant. They all meet at the origin, and all have equal, infinite areas.
Origin
The one to the lower left of the origin.