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At first glance, the man in this image may seem strange and mysterious. But if you knew exactly who this person was, he wouldn’t be mysterious to you at all. This is because you were able to verify his identity.
Mathematical equations can look very mysterious as well, especially those that contain multiple expressions. It is common to use mathematical identities to simplify more complicated expressions.
In this lesson, you will review the trigonometric identities you have learned so far and use them to simplify trigonometric expressions. Then, you will learn how to verify trigonometric identities. To verify a mathematical identity means to prove that a statement about equivalent expressions is true.
Verifying a trigonometric identity is the process of showing that one side of a given trigonometric equation is identical to the other side of the equation. To verify that a trigonometric equation is an identity, you’ll use a variety of approaches to alter one or both sides of the equation until they’re the same.
By verifying the trigonometric identities that you have been using, you can take the mystery out of trigonometric expressions.
