0
What else can I help you with?
In a unit circle what quadrant is 7 in?
1
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.
What is the sign of tan 300degrees?
The angle 300 degrees is in the fourth quadrant of the unit circle, where the tangent function is negative. Therefore, the sign of tan 300 degrees is negative. Specifically, tan 300 degrees can be calculated as tan(360 degrees - 60 degrees), which equals -tan(60 degrees), giving a negative value. Thus, tan 300 degrees is negative.
What is sin 210?
The sine of 210 degrees is equal to -1/2. This value can be derived from the unit circle, where 210 degrees is in the third quadrant, where sine values are negative. Specifically, sin(210°) corresponds to sin(210° - 180°) = sin(30°), and since sine is negative in the third quadrant, sin(210°) = -sin(30°) = -1/2.
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.
What is 4 pi over nine radians on the unit circle?
The angle ( \frac{4\pi}{9} ) radians on the unit circle corresponds to approximately 80 degrees. In the unit circle, this angle lies in the first quadrant, where both the x and y coordinates are positive. To find the coordinates of the point on the unit circle at this angle, you can use the cosine and sine functions: ( ( \cos(\frac{4\pi}{9}), \sin(\frac{4\pi}{9}) ) ).
What is sin 5pi over 4?
The angle ( \frac{5\pi}{4} ) radians corresponds to 225 degrees, which is located in the third quadrant of the unit circle. In this quadrant, the sine function is negative. The reference angle is ( \frac{\pi}{4} ), for which the sine value is ( \frac{\sqrt{2}}{2} ). Therefore, ( \sin\left(\frac{5\pi}{4}\right) = -\frac{\sqrt{2}}{2} ).
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
What angle is 220?
An angle of 220 degrees is located in the third quadrant of the unit circle. It can be found by subtracting 180 degrees from 220, resulting in a reference angle of 40 degrees. This means the angle measures 40 degrees clockwise from the negative x-axis. In standard position, it opens to the left and downward.
