An identity is a statement which says two quantities are equal, like as x + y = y + x or sin (x + y ) = sin x cos y + cos x sin y .
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In math, an equation that is always true is called an identity.
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Any number that makes an equation true is a 'solution of an equation'. it is a solution
No equation can have that property. It cannot be an equation if it is not true. If necessary, the domain must be amended. An equation can have different forms over different parts of its domain.
An identity is an equation that is always true, for any value of the variable or variables. Here are some examples: x + x = 2x a + b = b + a x1 = x