diff --git a/guide/english/mathematics/even-and-odd-functions/index.md b/guide/english/mathematics/even-and-odd-functions/index.md
index 3000a2bc42..73c26f1cb1 100644
--- a/guide/english/mathematics/even-and-odd-functions/index.md
+++ b/guide/english/mathematics/even-and-odd-functions/index.md
@@ -5,23 +5,23 @@ title: Even and Odd Functions
 
 ### General Functions
 
-A function `f` is a mapping from a set A (input/domain) to an set B (output/co-domain). It can be of different types on the basis of a number of classifications.
+A function `f` is a mapping from a set A (input/domain) to a set B (output/co-domain).
 
 ### Even Function:
 
 A function `f(x)` is even if and only if `f(x) = f(-x)`.
 
-An example of an even function would be `f(x) = x^2` because `f(2) = 2^2 = 4 = (-2)^2 = f(-2)`.
+An example of an even function would be `f(x) = x^2` because `(-x)^2 = x^2`. For example, `f(2) = 2^2 = 4 = (-2)^2 = f(-2)`.
 
 The trigonometric functions -  `cos(x)` and `sec(x)` are also even functions
 
 ### Odd Function
 
-A function `f(x)` is even if and only if `f(x) = -f(-x)`
+A function `f(x)` is odd if and only if `f(x) = -f(-x)`
 
-An example of an odd function would be `f(x) = x^3` because `f(2) = 2^3 = 8 = -(-8) = -(-2)^3 = -f(-2)`.
+An example of an odd function would be `f(x) = x^3` because `(-x)^3 = -x^3`, so `-(-x)^3 = x^3`. For example, `f(2) = 2^3 = 8 = -(-8) = -(-2)^3 = -f(-2)`.
 
-The trigonometric functions -  `sin(x)`, `tan(x)`,`cot(x)` and `cosec(x)` are also even functions
+The trigonometric functions -  `sin(x)`, `tan(x)`,`cot(x)` and `cosec(x)` are also odd functions
 
 #### More Information:
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