Question

what is difference between an equation and identity in mathematics ?

Answer 1

Equation means equality. They are both related to the word equal. If such an equality is true for all values of the variable, it is called an identity, e.g., sin 2 ⁡ x + cos 2 ⁡ x = 1 is true for all x.

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Answer 2

An equation is a mathematical statement that two things are equal. It consists of two expressions, one on each side of an 'equals' sign.

In mathematics an identity is an equality relation A = B, such that A and B contain some variables and A and B produce the same value as each other regardless of what values are substituted for the variables.

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