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In a unit circle what quadrant is 7 in?
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What happens when the point on the unit circle is in quadrant 1 compared to when the point on the circle is in quadrant 2?
In the first case the point has positive abscissa as well as ordinate, whereas in the second, the abscissa is negative. But nothing "happens". The world does not end!
What happens when the point on the unit circle is in quadrant 1 compared to when the point on the circle is in quadrant 2.?
In the first case the point has positive abscissa as well as ordinate, whereas in the second, the abscissa is negative. But nothing "happens". The world does not end!
Why is cosine negative in the third quadrant?
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°
Why is cotangent positive in the third quad?
If you are familiar with trigonometric functions defined in terms of the unit circle, the x and y coordinates are negative in the third quadrant. As a result, x/y, the ratio that defines cotangent, is positive.
Why does quadrant 2 come before quadrant 1?
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.
Why does cos negative theta equals positive theta?
You must think of the unit circle. negative theta is in either radians or degrees and represents a specific area on the unit circle. Remember the unit circle is also like a coordinate plane and cos is the x while sin is the y coordinate. Here is an example: cos(-45): The cos of negative 45 degrees is pi/4 and cos(45) is also pi/4
Can the unit circle have a radius of 2 unit?
If the radius is two. it won't be a unit circle, a unit circle is defined as a circle with radius one.
How would you explain how to find sine and cosine within each quadrant of a unit circle?
To find the sin/cos at a given point on the unit circle, draw a radius to that point. Then break the radius into components - one completely horizontal and one completely vertical. The sine is the vertical component, the cosine is the horizontal component.
What is unit circle?
The unit circle is a circle with its center at the origin and a radius of ' 1 '.
What is cosine of 30 degree angle?
On the unit circle, at 30 degrees the point is ( sqrt(3)/2 , 1/2 ) Cosine "represents" the x value (x, y) Therefore: cos(30) = sqrt(3) / 2 It is highly advisable for you to memorize the unit circle -- at least the quadrant I angles (0, 30, 45, 60, and 90). I'll include a link to a good unit circle reference in the related links.
How many units in a unit circle?
A unit circle is a circle with radius equal to one.
