What is the range of CSC?
What is the range of CSC?
The range of the function is y≤−1 or y≥1 . The graph of the cosecant function looks like this: The domain of the function y=csc(x)=1sin(x) is all real numbers except the values where sin(x) is equal to 0 , that is, the values πn for all integers n .
What are the periods for the six trigonometric functions?
Sine, cosine, secant, and cosecant have period 2π while tangent and cotangent have period π. Identities for negative angles. Sine, tangent, cotangent, and cosecant are odd functions while cosine and secant are even functions.
What is the domain and range of CSC?
Trigonometric Functions
| Function | Domain | Range |
|---|---|---|
| f(x) = tan ( x ) | All real numbers except π/2 + n*π | (-in , + ∞) |
| f(x) = sec ( x ) | All real numbers except π/2 + n*π | (-∞ , -1] U [1 , + ∞) |
| f(x) = csc ( x ) | All real numbers except n*π | (-∞ , -1] U [1 , + ∞) |
| f(x) = cot ( x ) | All real numbers except n*π | (-∞ , + ∞) |
Is Sine an even function?
Sine is an odd function, and cosine is an even function. A function f is said to be an even function if for any number x, f(–x) = f(x). Most functions are neither odd nor even functions, but some of the most important functions are one or the other.
What does an even graph look like?
The graph of an even function is symmetric about the y-axis. The graph of an odd function is symmetric about the x-axis. So, if you need to jog your memory as to which symmetry the word “even” or “odd” refers, just drawn a quick sketch of the graph of either f(x)=x2 or f(x)=x3.
How do you determine if its a function?
Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function.
How do you tell if a graph is not a function?
Inspect the graph to see if any vertical line drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.
What does a one-to-one graph look like?
A graph of a function can also be used to determine whether a function is one-to-one using the horizontal line test: If each horizontal line crosses the graph of a function at no more than one point, then the function is one-to-one. In each plot, the function is in blue and the horizontal line is in red.