**Answer and Explanation: The domain of y = cot(x) is****all real numbers except x = πk**, where k is any integer.The domain of the function y = sec ( x ) = 1 cos ( x ) is again all real numbers except the values where cos ( x ) is equal to 0 , that is, the values π 2 + π n for all integers n . The range of the function is y ≤ − 1 or y ≥ 1 .

The domain of the function y = tan ( x ) ) is all real numbers except the values where cos ( x ) is equal to 0 , that is, the values π 2 + π n for all integers n . The range of the tangent function is all real numbers.

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 π n for all integers n . The range of the function is y ≤ − 1 or y ≥ 1 .

This angle measure can either be given in degrees or radians . Here, we will use radians. Since any angle with a measure greater than 2 π radians or less than 0 is equivalent to some angle with measure 0 ≤ θ < 2 π , all the trigonometric functions are periodic .

The domain of the function y = cot ( x ) = cos ( x ) sin ( x ) is all real numbers except the values where sin ( x ) is equal to 0 , that is, the values π n for all integers n . The range of the function is all real numbers. Subjects Near Me

### Watch More Solved Questions in Chapter 4

Okay, lets look at a quick sketch of our co tangent graph to figure out what goes in the blank here. So remember that the co tangent graph has these curves that go down with vertical sn toads in between. So theres a vertical s and toted pie, and at zero and then again at two pi loops and then again at negative pie, another vertical Lassen tote and again at negative two pi etcetera. There will be infinitely many of them and notice they occur it. Zero pie one pie two pi three pie Negative one pie negative two pi negative three pie always multiples of pi. So for the domain of this function, we have all real numbers such that X is not equal to a multiple of pie and the way we can express a multiple multiple of pious weaken, say n times pi where n is any integer We have video lessons for 96.97% of the questions in this textbook

## FAQ

**What is the range of the function y COTX?**

**(−∞,+∞)**

**What is the domain and range of y cos x?**

**Which of the following is not in the domain of cot x )?**

**−π**is not included in the domain.

**What is the domain of y sin x?**