What is the range of cot?
What is the range of cot?
The range of cotx is (−∞,∞) or all real numbers.
What is the restricted domain for cotangent?
However, cot: (0, π ) → (−∞, ∞) is bijective with the restricted domain (0, π ) . So, we can define the inverse cotangent function with (−∞, ∞) as its domain and (0, π ) as its range. The inverse cotangent function cot-1 : (-∞, ∞) → (0, π ) is defined by cot-1 (x) = y if and only if cot y= x and y ∈(0, π) .
What is the domain of the function y COTX?
The cotangent function can take up any values depending on the value of x , the independent variable. The domain is all real numbers other than integral multiples of π where, the function is not defined.
Does COTX and TANX have the same domain?
The tangent and cotangent are related not only by the fact that they’re reciprocals, but also by the behavior of their ranges. The domains of both functions are restricted, because sometimes their ratios could have zeros in the denominator, but their ranges are infinite.
What is the domain of the inverse sine function?
Graphs of Inverse Trigonometric Functions
| Function | Domain | Range |
|---|---|---|
| sin−1(x) | [−1,1] | [−π2,π2] |
| cos−1(x) | [−1,1] | [0,π] |
| tan−1(x) | (−∞,∞) | (−π2,π2) |
| cot−1(x) | (−∞,∞) | (0,π) |
What is the domain and range of greatest integer function?
The domain of the greatest integer function is R R and its range is Z Z . The domain of the fractional part function is R R and its range is [0,1).
Why is cotangent an odd function?
We can determine whether each of the other basic trigonometric functions is even, odd, or neither, with just these two facts and the reciprocal identities. Thus tangent takes the form f(−x)=−f(x), so tangent is an odd function. Therefore cotangent is also an odd function.