Where is the tangent function undefined?
Understand the Problem
The question is asking for the specific values or conditions under which the tangent function, denoted as 'tan(x)', does not have a defined value. This is related to the properties of the trigonometric function tangent and its relationship to sine and cosine functions.
Answer
x = (π/2) + πk, where k is any integer
The final answer is x = (π/2) + πk, where k is any integer
Answer for screen readers
The final answer is x = (π/2) + πk, where k is any integer
More Information
The tangent function, tan(x), is undefined where the cosine function is zero, as tan(x) is defined as sin(x)/cos(x).
Tips
A common mistake is to forget that the undefined points repeat every π radians.
Sources
- The web page with info on - Homework Study - homework.study.com
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