Is tan an odd function?
Understand the Problem
The question is asking whether the tangent function has the property of being an odd function, meaning that tan(-x) should equal -tan(x). To evaluate this, we can recall the definition of the tangent function and its symmetry properties.
Answer
The tangent function is an odd function.
The tangent function is an odd function.
Answer for screen readers
The tangent function is an odd function.
More Information
A function is odd if f(−x) = −f(x). For the tangent function, tan(−x) = −tan(x), confirming it is odd.
Tips
Common mistakes include confusing the definitions of even and odd functions or using incorrect trigonometric identities.
Sources
- Is tangent even or odd? - cuemath.com
- How do you prove that tangent is an odd function? - Socratic - socratic.org
- Are Secant, Tangent, Cosecant, and Cotangent Even or Odd? - opencurriculum.org
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