An identity is a special type of equation. Equations that are not identities are also called conditional equations because they are not valid for all allowable values of the variable. To solve an equa...An identity is a special type of equation. Equations that are not identities are also called conditional equations because they are not valid for all allowable values of the variable. To solve an equation means to find all of the values for the variables that make the two expressions on either side of the equation equal to each other. We solved algebraic equations in algebra and now we will solve trigonometric equations.