Even and Odd Functions in Trigonometry
Six trigonometric ratios are:
- Sine Ratio
- Cosine Ratio
- Tangent Ratio
- Cotangent Ratio
- Secant Ratio
- Cosecant Ratio
Now for these trigonometric functions,
- All six of the trigonometric ratios have positive values in the first quadrant, which is where all of the x and y coordinates are positive.
- Only sine and cosecant have positive values in the second quadrant.
- Tangent and cotangent are positive in the third quadrant.
- Secant and cosine are positive in the fourth quadrant.
Even and Odd Functions
Even and odd functions are types of functions. A function f is even if f(-x) = f(x), for all x in the domain of f. A function f is an odd function if f(-x) = -f(x) for all x in the domain of f, i.e.
- Even function: f(-x) = f(x)
- Odd function: f(-x) = -f(x)
In this article, we will discuss even and odd functions, even and odd function definitions, even and odd functions in trigonometry, and even and odd function graphs and others in detail.
Table of Content
- What are Even and Odd Functions?
- Even and Odd Functions Definition
- Even Function
- Even Function Examples
- Even and Odd Functions Graph
- Even Functions Graph
- Odd Function
- Odd Function Examples
- Odd Functions Graph
- Neither Odd Nor Even
- Even and Odd Functions in Trigonometry
- Properties of Even and Odd Functions
- Integral Properties of Even and Odd Functions
- Even and Odd Functions Examples
- Practice Questions on Even and Odd Functions