Verifying Trigonometric Identities T,3.2: Students prove other trigonometric identities and simplify others by using the identity cos 2 (x) + sin 2 (x)

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Presentation transcript:

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 Objectives (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) Key Words Verify Identity

Suggestions for Verifying Trigonometric Identities

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

Examples: You try!

Conclusions Summary 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 Assignment Pg434 #(29-35 ODD) Finish in class.