Is sine even or odd?
Understand the Problem
The question is asking whether the sine function, which is a trigonometric function, is classified as even or odd in terms of its symmetry properties. To determine this, we'll consider the definition of even and odd functions.
Answer
Sine is an odd function.
The final answer is sine is an odd function.
Answer for screen readers
The final answer is sine is an odd function.
More Information
In mathematics, a function f(x) is called odd if f(-x) = -f(x) for all x in the domain of f. For the sine function, sin(-x) = -sin(x), thus it satisfies the property of odd functions.
Tips
A common mistake is confusing the properties of even and odd functions. Remember that even functions are symmetrical about the y-axis, while odd functions are symmetrical about the origin.
Sources
- Sine Function - Wolfram Alpha - mathworld.wolfram.com
- Even and Odd Functions - Math is Fun - mathsisfun.com
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