what is the range of the function (y = cot(x))?\nall real numbers\nall real numbers except…
what is the range of the function (y = cot(x))?\nall real numbers\nall real numbers except (\frac{pi}{2}+npi), where (n) is any integer\nall real numbers except (\frac{npi}{2}), where (n) is any integer\nall real numbers except (npi), where (n) is any integer
Answer
Explanation:
Step1: Recall cotangent function definition
The cotangent function is defined as $\cot(x)=\frac{\cos(x)}{\sin(x)}$.
Step2: Analyze its range
As $x$ varies, $\cot(x)$ can take on any real - valued output. The values for which $\cot(x)$ is undefined ($\sin(x) = 0$, i.e., $x=n\pi,n\in\mathbb{Z}$) are related to the domain, not the range. The function $\cot(x)$ can output any real number.
Answer:
all real numbers