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Prove that sec u sin u 5 tan u is an identity. Solution Write the left side of the equation in terms of sin u and cos u. sec u sin u. The most complete method for proving trigonometric identities uses algebraic and trigonometric identities that have previously been established. This method To prove (or verify) that a trigonometric identity is true, we use trigonometric substitutions and algebraic manipulations to either: 1. Transform the right If it appears to be an identity, verify it. If not, find an x-value for which both sides are defined but not equal. Proving Trigonometric Identities. -Among the common precalculus topics, proving identities is often considered to be the most difficult of topics. Verifying Trigonometric Identities. Objective: To verify that two expressions are equivalent. That is, we want to verify that what we have is an identity. Students prove simple identities involving the sine function, cosine function, Which of these statements is a trigonometric identity? Identities worksheet 3.4 name: 2. 1 + cos x = esc x + cot x sinx. 4. sec8 You will prove these identities for any angle in Lesson 5-3. You have also seen that each of the basic trigonometric functions— sine, cosine, tangent, cosecant,(Both sides are equal to 49.) We can prove that equation (1) is an identity by using elementary algebra. (mainly the distributive property). The proof goes as