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Verifying Trigonometric Identities

Verifying Trigonometric Identities. T,3.2: Students prove other trigonometric identities and simplify others by using the identity cos 2 ( x ) + sin 2 ( x ) = 1. For example, students use this identity to prove that sec 2 ( x ) = tan 2 ( x ) + 1. . Verifying Trigonometric Identities.

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Verifying Trigonometric Identities

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  1. Verifying Trigonometric Identities T,3.2: Students prove other trigonometric identities and simplify others by using the identity cos2 (x) + sin2 (x) = 1. For example, students use this identity to prove that sec2 (x) = tan2 (x) + 1.

  2. Verifying Trigonometric Identities Objectives Key Words Verify Identity • (Yesterday) Use the basic trigonometric identities to verify other identities (5-9,13-28) • (today) Find numerical values of trigonometric functions (10-11,29-35)

  3. Suggestions for Verifying Trigonometric Identities

  4. Example 4 Find a numerical value of one trigonometric function of x if

  5. Examples: You try! Find the numerical value of on trigonometric function of if: 1/sin(x)=2 Find the numerical value of on trigonometric function of if: cos(x)=0.6

  6. Conclusions Summary Assignment Pg434 #(29-35ODD) Finish in class. • What procedures can you take to verify a trigonometric identity? • Transform the more complicated side of the equation into the simpler side • Substitute • Factor or simplify • Multiply by expressions equal to 1 • Express as sine or cosine

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