What is the domain of sine and cosine functions?
all real numbers
Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .
What is the domain of the sine parent function?
In the sine function, the domain is all real numbers and the range is -1 to 1.
What is the domain of both a sine and cosine parent function graph?
The sine and cosine functions have a period of 2π radians and the tangent function has a period of π radians. Domain and range: From the graphs above we see that for both the sine and cosine functions the domain is all real numbers and the range is all reals from −1 to +1 inclusive.
Do sine and cosine functions have the same domain?
Therefore the sine and cosine function have the same domain, the set of all real numbers, \begin{align*}R\end{align*}. Therefore the ranges of the sine and cosine function do not include values greater than one.
What is the reciprocal of cosine function?
The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.
What is the domain and range of sin?
The function f(x) = sin x has all real numbers in its domain, but its range is −1 ≤ sin x ≤ 1. The values of the sine function are different, depending on whether the angle is in degrees or radians. The function is periodic with periodicity 360 degrees or 2π radians.
What is the domain of E X?
Algebra Examples The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Is the cosine function even or odd?
Sine is an odd function, and cosine is an even function. You may not have come across these adjectives “odd” and “even” when applied to functions, but it’s important to know them. A function f is said to be an even function if for any number x, f(–x) = f(x).
Is cosine the reciprocal of sine?
The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta). The reciprocal tangent function is cotangent, expressed two ways: cot(theta)=1/tan(theta) or cot(theta)=cos(theta)/sin(theta). Recall the definition of cosine, sine and tangent.
What is the reciprocal of sine function?
The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.
Where is the period in a cosine function?
The period of a periodic function is the interval of x-values on which the cycle of the graph that’s repeated in both directions lies. Therefore, in the case of the basic cosine function, f(x) = cos(x), the period is 2π.