5 2 Study Guide And Intervention Verifying Trigonometric Identities Definition 1 5 You cannot cross the equal sign Since you are trying to prove that both sides of the given equation are equal you cannot use any properties of equality because that would mean that you already assume that they are equal Click the card to flip Flashcards Learn Test Match Created by KrasnoperoAR Terms in this set 5
D sqrt 3 Find cot x if sin x cot x csc x sqrt 2 Please select the best answer from the choices provided B sqrt 2 Find cos x if sin x cot x 0 5 Please select the best answer from the choices provided A 0 5 Given find a numerical value of one trigonometric function of x Please select the best answer from the choices provided Verifying Trigonometric Identities Objective To verify that two expressions are equivalent That is we want to verify that what we have is an identity To do this we generally pick the expression on one side of the given identity and manipulate that expression until we get the other side In most cases it is best to start with the
5 2 Study Guide And Intervention Verifying Trigonometric Identities
5 2 Study Guide And Intervention Verifying Trigonometric Identities
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Find Trigonometric Values A trigonometric identity is an equation involving trigonometric functions that is true for all values for which every expression in the equation is defined Example Find the exact value of cot if csc and 180 270 cot2 1 csc2 Trigonometric identity 11 2 cot2 1 5
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5 2 Study Guide And Intervention Verifying Trigonometric Identities

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Verifying Trigonometric Identities hudson k12 oh us

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Simplify sin2 x Multiply Notice that the verification ends with the expression on the other side of the identity Exercises Verify each identity 1 sec cos sin tan sec sin tan cot tan csc cos 1 csc2 cot2 sec2 sin2 NAME DATE PERIOD 5 2 Study Guide and Intervention continued

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5 2 Study Guide and Intervention Verifying Trigonometric Identities Verify Trigonometric Identities To verify an identity means to prove that both sides of the equation are equal for all values of the variable for which both sides are defined Example sec2 x 1 sin2 x Verify that sec2 x

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5 2 Study Guide and Intervention continued Verifying Trigonometric Identities Identifying Identities and Nonidentities You can use a graphing calculator to test whether an equation might be an identity by graphing the functions related to each side of the equation
The even odd identities relate the value of a trigonometric function at a given angle to the value of the function at the opposite angle and determine whether the identity is odd or even Recall that an odd function is one in which f x f x f x f x for all x x in the domain of f f 5 1 Study Guide and Intervention Trigonometric Identities Basic Trigonometric Identities An equation is an identity if the left side is equal to the right side for all values of the variable for which both sides are defined Trigonometric identities are identities that involve trigonometric functions Reciprocal Identities
Write each trigonometric expression as an algebraic expression 9 cos arcsin x arccos x 10 sin arctan 3 arcsin x 11 Verify sin x sin x 12 Verify sin 270 cos Study Guide and Intervention Sum and Difference Identities Example 5 4