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The cotangent function is the reciprocal of the tangent function, so cot(115 degrees) is equivalent to 1/tan(115 degrees). Since tan(115 degrees) is equivalent to -tan(65 degrees) due to the periodicity of the tangent function, cot(115 degrees) simplifies to -tan(65 degrees), which corresponds to option A.

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Is the cosine function an odd function?

No. Cosine, along with sec, is an even function. The odd functions are sin, tan, csc, and cot. The reason for this is because is you take the opposite of the y-value for the cosine function, the overall value of the function is not affected.Take, for example, cos(60 degrees), which equals POSITIVE 1/2.If you flip it over the x-axis, making the y's negative, it becomes cos(-60 degrees), or cos(300 degrees). This equals POSITIVE 1/2.Now let's look at an odd function. For example, sin(30 degrees) equals POSITIVE 1/2. Now take the opposite of this.sin(-30 degrees), or sin(330 degrees), equals NEGATIVE 1/2. This is because it is found in the fourth quadrant, where the y's are negative. Sine of theta, by definition, is y divided by r. If y is negative, sine is negative.


What are the 6 trig functions for 0 degrees 90 degrees 180 degrees 270 degrees?

sin(0) = 0, sin(90) = 1, sin(180) = 0, sin (270) = -1 cos(0) = 1, cos(90) = 0, cos(180) = -1, cos (270) = 0 tan(0) = 0, tan (180) = 0. cosec(90) = 1, cosec(270) = -1 sec(0) = 1, sec(180) = -1 cot(90)= 0, cot(270) = 0 The rest of them: tan(90), tan (270) cosec(0), cosec(180) sec(90), sec(270) cot(0), cot(180) are not defined since they entail division by zero.


How you find six trig functions of 180 degree?

To find the six trigonometric functions of 180 degrees, we can use the unit circle. At 180 degrees, the coordinates of the point on the unit circle are (-1, 0). Thus, the sine function (sin) is 0, the cosine function (cos) is -1, and the tangent function (tan) is 0. Consequently, the values for the six trig functions are: sin(180°) = 0, cos(180°) = -1, tan(180°) = 0, csc(180°) is undefined, sec(180°) = -1, and cot(180°) is undefined.


What is cotangent of 270 degrees?

Firstly, with the unit circle (r=1) we need to know that:at 270 degrees our coordinates are (0, -1)sine(270 degrees) = -1cosine(250 degrees) = 0cotangent = cosine / sinetherefore: cot ( 270 degrees) = 0/-1 = 0The answer is 0.


What is the plural of cot?

The noun cot has a regular plural, cots.

Related Questions

The function cot 115 degrees is equivalent to?

cot(115º) = -tan(25) or cot(115º) = -0.466308


The function cot 115 degrees is equivalent to A -tan 60 degrees B -tan 25 degrees C tan 25 degrees D tan 65 degrees?

cot 115 deg = - tan25 deg


What is the exact trigonometric function value of cot 0?

There is no value cot 0, because cot 0 is equivalent to 1 / tan 0, which is equivalent to 1 / 0, which is undefined. That said, the limit of cot x as x approaches 0 is infinity.


Choose the correct function value for cot 81.1?

cot 81.1°


What expression is equivalent to cot t sec t?

Which expression is equivalent to cot t sec t


What is the cotangent of 360 degrees?

cot(360°) = cot(0°) = tan(90°) = ∞


What is the residue of the function cot z next to a given point residue at 0?

The residue of the function (\cot z) at the point (z = 0) can be calculated by expanding (\cot z) in its Laurent series. The function (\cot z) has a simple pole at (z = 0) with residue equal to (1). Therefore, the residue of (\cot z) at (z = 0) is (1).


What is cot curve?

Cot curve is concerned with the measurement of the degree of reannealing of DNA strands. It is a curve drawn with X-axis having DNA concentration unit multiplied by time. Since the initial concentration is considered represented as Co and when multiplied with time t, it becomes "Cot" and the graph is known as Cot curve. The graph is drawn against %reanealled versus Cot.


What is the cotangent of -240 degrees?

cot(-240) = -0.5774, approx.


What is cotangent of 45 degrees?

cot(45 deg) = 1.


How do you draw the graph of modulus of y equals cot x?

First note that this not the graph of y = |cot(x)|.The equivalent equations for |y| = cot(x) or cot(x) = |y| arecot(x) = -y or cot(x) = +ySo plot y = cot x and then reflect all the points in the x-axis.


What quadrant is cot -1 in?

in second and fourth... for angles 135 and 315 degrees