What is the period of cotangent and tangent?
π \pi π
From the graphs of the tangent and cotangent functions, we see that the period of tangent and cotangent are both π \pi π. In trigonometric identities, we will see how to prove the periodicity of these functions using trigonometric identities.
What is the period of tangent?
π
The period of the tangent function is π because the graph repeats itself on intervals of kπ where k is a constant. If we graph the tangent function on −π2 to π2 , we can see the behavior of the graph on one complete cycle.
What is cotangent equation?
The cotangent of x is defined to be the cosine of x divided by the sine of x: cot x = cos x sin x . The secant of x is 1 divided by the cosine of x: sec x = 1 cos x , and the cosecant of x is defined to be 1 divided by the sine of x: csc x = 1 sin x .
What is the period of tan2x?
We know the formula for the period of a tan function, tan x =xcoefficient of x. Hence the period of tan 2x =x2.
What is the period of a cos graph?
Periodic functions repeat after a given value. The smallest such value is the period. The basic sine and cosine functions have a period of 2π.
What is the COT of 0?
Notice, we have indeterminate form, so cot(0) is undefined. Hope this helps!
What is the period for sine?
2π
The period of the sine function is 2π, which means that the value of the function is the same every 2π units.
What is the period of COSX?
The fact that the cosine function repeats itself means that that it is periodic. In particular, y = cos x is periodic with period 2π .
What is the cot of 30 degrees?
The exact value of cot(30°) cot ( 30 ° ) is √3 .
What is cotangent on a calculator?
The formula for determining the tangent is the opposite side divided by the adjacent side of a triangle. So, since the cotangent is the reciprocal, then the formula for determining the cotangent is the adjacent side divided by the opposite side of the triangle.
What is the period for the tangent function?
The period of the sine and cosine functions is 2π (pi) radians or 360 degrees. For the tangent function, the period is π radians or 180 degrees.
What is the period all trigonometric functions?
All trigonometric functions are periodic functions of period 2π. This is the smallest period, except for the tangent and the cotangent, which have π as smallest period. This means that, for every integer k, one has The Pythagorean identity, is the expression of the Pythagorean theorem in terms of trigonometric functions.
What is the range of the cotangent function?
A graph of the cotangent function for angles in the range 0° to 720°. Like the tangent function, the values of the cotangent function will vary between zero and infinity (or more correctly, between zero and a very large undefined value).
