An iden.y cannot be 'solved ' in the way an equation can because it is true for all values of the variable  which is not very helpful if one is lo.ng for a particular solution. Iden.ies are very useful when it is desirable to express an alge.ic statement in an alternative but equally true form..
Learn how to solve tr.nometric equations and how to use tr.nometric iden.ies to solve various problems..2.3 Iden.ies,Conditional Equations,and Inconsistent Equations 215 79 IDEN.IES, CONDITIONAL EQUATIONS, AND INCONSISTENT EQUATIONS In this section, we will solve .Geometri.y, these are iden.ies involving certain functions of one or more angles. They are distinct from triangle iden.ies, which are iden.ies involving both .Sin 2 x + cos 2 x = 1. tan 2 x + 1 = sec 2 x cot 2 x + 1 = csc 2 x sin x y = sin x cos y cos x sin y. cos x y = cos x cosy sin x sin y.
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Sin 2 x + cos 2 x = 1. tan 2 x + 1 = sec 2 x . cot 2 x + 1 = csc 2 x . sin x y = sin x cos y cos x sin y. cos x y = cos x cosy sin x sin y.