3 6 Proving Trigonometric Identities Mrs Lisa Allen
- Slides: 15
(3 -6) Proving Trigonometric Identities Mrs. Lisa Allen Honors Pre-calculus Saucon Valley High School
Strategies to use when proving identities 1) 2) 3) 4) Know the fundamental identities Write expressions in terms of sines and cosines Refer to other side of identity intermittently If one side of the identity has only one trigonometric function, rewrite the other side in terms of that one trigonometric function 5) Use the Pythagorean Identities for expressions equal to 1. 6) Perform algebraic operations (on next page)
Perform Algebraic Operations 1) 2) 3) 4) 5) Factor Simplify complex rational expressions Find the LCD and combine fractions Combine Like Terms Multiply the numerator and denominator by the same expression to obtain an equivalent fraction 6) Replace a binomial with a monomial
Proofs not Solving Equations 1. Do not use the addition or multiplication properties for equalities. 2. Work with each side of the identity independently until one side is identical to the other side.
Simplify Complex Fractions Multiply by the LCD/LCD
Simplify Complex Fractions Multiply by the LCD/LCD
Recognizing factoring of Perfect Square Trinomials
Factor the following Trinomials 9 9 9 3 x 5
Example 1 Prove the identity.
Example 2 Prove the identity.
Example 3 Prove the Identity ASIDE
Example 4 Prove the identity
Example 5 Prove the identity
Example 6 Prove the identity LCD= ASIDE
Homework P. 143 Practice Exercises #s 3, 6, 9, 12, 15, 17, 21, 25, 28
- Wanderers nachtlied schubert analyse
- Proving trig identities
- Tan double angle formula
- Grade 12 trig identities
- Set theory identities
- Quotient identities examples
- 5-1 trigonometric identities
- Verifying trigonometric identities calculator
- Limits of trigonometric functions
- Fundamental trig identities
- Trigonometric identities
- Lesson 14 graphing the tangent function
- Use cofunction and odd-even identities
- Basic identities
- Trig derivatives
- 5-1 trigonometric identities