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They are called identity thefts.

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Why are numbers 1 and 0 called special numbers?

They are, respectively, the multiplicative and additive identities for the field of numbers.


Why are the equations w-x xw and w x-w called identities?

The equations ( w - x = xw ) and ( wx - w = 0 ) are called identities because they hold true for all values of the variables involved, regardless of their specific values. An identity is a mathematical statement that is universally valid, meaning both sides of the equation are equal for any permissible values of the variables. This property distinguishes identities from regular equations, which may only be true for specific values. In essence, identities reveal fundamental relationships between the variables.


What are the identities in trigonometry?

In trigonometry, identities are mathematical expressions that are true for all values of the variables involved. Some common trigonometric identities include the Pythagorean identities, the reciprocal identities, the quotient identities, and the double angle identities. These identities are used to simplify trigonometric expressions and solve trigonometric equations.


Where can one find a list of trigonometric identities?

Trigonometric identities involve certain functions of one or more angles. These identities are useful whenever expressions involving trigonometric functions need to be simplified.


How do you do identities?

To work with identities, start by understanding the definitions and properties of the specific identity you are considering, such as trigonometric, algebraic, or geometric identities. Break down complex expressions into simpler components, applying known identities and rules (like the distributive property or factoring) to manipulate the equation. Always verify your transformations by substituting values or comparing both sides of the identity to ensure they are equivalent. Practice with various examples to strengthen your skills in recognizing and proving identities.