Assertion: trigonometric function's domain | /r/HasProperty | real numbers
Facets:
value: except for these asymptotes
type: OTHER
value: except multiples of π
type: OTHER
value: except kπ
type: OTHER
value: no longer
type: TEMPORAL
value: except the values
type: OTHER
value: except the points
type: OTHER
value: first of all
type: OTHER
Source sentences:
text: (angle) Domain: all real numbers
text: x, so the domain of sin(x) is all reals.
text: the domain of y = \( \sin{x} \) and y = \( \cos{x} \) is the set of all real numbers
text: First of all, the domain is no longer all real angles.
text: This means that the domain of tangent will be whole set of real numbers except the points where cosine reaches zero.
text: Because this arc length can be positive (counterclockwise) or negative (clockwise), the domain of each of these circular functions is the set of real numbers.
text: (angle) Domain: all real numbers except
text: [-1,1] Domain: all real numbers
text: The domain of is all real numbers, the range is and the horizontal asymptote is
text: The domain of is all real numbers, the range is and the horizontal asymptote is
text: The domain of the function y = csc ( x ) = 1 sin ( x ) is all real numbers except the values where sin ( x ) is equal to 0 , that is, the values
text: Therefore, the domain of sine and cosine is all real numbers.
text: The domain of tangent and secant is all real numbers except
text: The domain of cosecant and cotangent is all real numbers except kΠ, where k is an integer.
text: The vertical asymptotes on the tan graph are at \(\displaystyle x=\frac{\pi }{2}+\pi k\); thus, the domain is all real numbers except for these asymptotes.
text: The vertical asymptotes on the csc graph are at \(x=\pi k\); thus, the domain is all real numbers except for these asymptotes.
text: The vertical asymptotes on the sec graph are at \(\displaystyle x=\frac{\pi }{2}+\pi k\); thus, the domain is all real numbers except for these asymptotes.
text: The vertical asymptotes on the cot graph are at \(x=\pi k\); thus, the domain is all real numbers except for these asymptotes.
text: The trigonometric functions are: where the domain of sine and cosine is all real numbers, and the other trigonometric functions are defined precisely when their denominators are nonzero.
text: To sketch a graph of y = cos x we can make a table of values that we can compute exactly: We can plot these points and sketch a smooth curve going through them: Since the domain of the cosine function is all real numbers, we place arrows on the graph to indicate that the graph repeats itself exactly in both directions.
text: x To sketch a graph of y = sin x we can make a table of values that we can compute exactly: We can plot these points and sketch a smooth curve going through them: Since the domain of the sine function is all real numbers, we place arrows on the graph to indicate that the graph repeats itself exactly in both directions.
text: The domain for Tan–1 x, or Arctan x, is all real numbers — numbers from
text: First, as we know, the period of tangent is not Further, the domain of tangent is all real numbers with the exception of odd integer multiples of unless, of course, a problem places its own restrictions on the domain.
text: And also just like the sine function, there is no restriction on the angle of rotation, so the domain of cos(x) is all reals.
text: The domain is all reals except for the "holes" at π 2 {\displaystyle {
text: Therefore, the sine and cosine function have the same domain, the set of all real numbers, R. We can determine the range of the functions if we think about the fact that the sine of an angle is the y-coordinate of the point where the terminal side of the angle intersects the unit circle.
text: In mathematical terms we say the 'domain' of the sine function is the set of all real numbers.
text: ≥ 1 or y ≤ −1}, and the domain is all real angles except multiples of π 2 {
text: Cotangent is also function defined as a fraction, which means that the domain of cotangent will be whole set of real numbers without the zeros of the sine function.