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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 quadrant of the terminal side and the sign of the function when cot is-495 degrees?
To find the quadrant and sign of the cotangent function for -495 degrees, first, convert it to a positive angle by adding 360 degrees until the angle is within the standard range. -495 + 720 = 225 degrees. The angle 225 degrees is in the third quadrant, where both sine and cosine are negative, making cotangent (which is the ratio of cosine to sine) positive. Thus, cot(-495 degrees) is positive and located in the third quadrant.
What are the quadrant angles?
Quadrant angles are the angle lies in different quadrants. The angles which lie between 0° and 90° are said to lie in the first quadrant. The angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant and angles between 270° and 360° are in the fourth quadrant Quadrant angles are the angle lies in different quadrants. The angles which lie between 0° and 90° are said to lie in the first quadrant. The angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant and angles between 270° and 360° are in the fourth quadrant
What are the quadrants in math?
There are four quadrants. They are represented by Roman numerals : I(one), II(two), III(three), IV(four). The first quadrant contains all positive points , (+x, +y) The second quadrant contains negative x's and positive y's , (-x, +y) The third quadrant is all negative , (-x, -y) The fourth quadrant has negative y's and positive x's , (+x, -y)
What quadrant does -135 degrees?
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.
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.
Which quadrant would an answer be in if tan was positive and sin was negative?
The third quadrant.
What are the coordinates of a point that could be in each of the four quadrants?
The coordinates must be as follows: First quadrant: positive, positive Second quadrant: negative, positive Third quadrant: negative, negative Fourth quadrant: positive, negative
What quadrant of the terminal side and the sign of the function when cot is-495 degrees?
To find the quadrant and sign of the cotangent function for -495 degrees, first, convert it to a positive angle by adding 360 degrees until the angle is within the standard range. -495 + 720 = 225 degrees. The angle 225 degrees is in the third quadrant, where both sine and cosine are negative, making cotangent (which is the ratio of cosine to sine) positive. Thus, cot(-495 degrees) is positive and located in the third quadrant.
What are the quadrant angles?
Quadrant angles are the angle lies in different quadrants. The angles which lie between 0° and 90° are said to lie in the first quadrant. The angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant and angles between 270° and 360° are in the fourth quadrant Quadrant angles are the angle lies in different quadrants. The angles which lie between 0° and 90° are said to lie in the first quadrant. The angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant and angles between 270° and 360° are in the fourth quadrant
What quadrant does y equals 6x pass through?
y=6x is in the third quadrant while x is negative and in the first quadrant while x is positive.
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.
How many quadrants in the cartesian plane?
The Cartesian plane is divided into four quadrants. These quadrants are determined by the signs of the x and y coordinates: the first quadrant (positive x, positive y), the second quadrant (negative x, positive y), the third quadrant (negative x, negative y), and the fourth quadrant (positive x, negative y).
What are the numbers of a quadrants?
In a Cartesian coordinate system, the plane is divided into four quadrants. The first quadrant (Quadrant I) is where both x and y coordinates are positive, the second quadrant (Quadrant II) has negative x and positive y values, the third quadrant (Quadrant III) has both coordinates negative, and the fourth quadrant (Quadrant IV) features positive x and negative y values. Quadrants are typically numbered counterclockwise, starting from the upper right.
What quadrant is -6 -5 lies in?
-1
What quadrants is the quadratic parent function in?
The quadratic parent function, expressed as ( f(x) = x^2 ), is primarily located in the first and second quadrants of the Cartesian plane. In the first quadrant, the function's values are positive for all ( x > 0 ), while in the second quadrant, the function's values are positive for all ( x < 0 ) (since the output is always non-negative). The vertex of the function is at the origin (0,0), and it opens upwards, meaning it does not extend into the third or fourth quadrants.
In which quadrant(s) do the x- and y-coordinates have the same sign Check all that apply.?
The x- and y-coordinates have the same sign in the first and third quadrants. In the first quadrant, both x and y are positive, while in the third quadrant, both x and y are negative. Therefore, the correct quadrants are Quadrant I and Quadrant III.
