Chapter 6 : OVERALL EXPECTATIONS
Section 7.1 – Equivalent Trigonometric Expressions
• 3.1 recognize equivalent trigonometric expressions [e.g., by using the angles in a right triangle to recognize that sin x and cos ([pi]/2 – x) are equivalent; by using transformations to recognize that cos (x + [pi]/2 ) and –sin x are equivalent], and verify equivalence using graphing technology
[pic] [pic][pic]
[pic]
sin (x) = sin ( )
= cos ( )
cos (x) = cos ( )
= sin ( )
tan (x) = tan ( )
Example 1: State two trig ratios that are equivalent to each of the following.
a) Sin 3π/10 b) -cos 8π/7
You try:
a) -sin13π/7 b) cos6π/7
Example 2: Write an equation that is equivalent to y= - 5sin(x-π/2) – 8.
Homework: pg 392 - #5,7
7.2: Compound Angle Formulas
[pic]
• 3.2 explore the algebraic development of the compound angle formulas (e.g., verify the formulas in numerical examples, using technology; follow a demonstration of the algebraic development [student reproduction of the development of the general case is not required]), and use the formulas to determine exact values of trigonometric ratios [e.g., determining the exact value of sin ([pi]/12) by first rewriting it in terms of special angles as sin ([pi]/4 – [pi]/6)]
[pic]
Special angles that we know the exact value for: π/6, π/4, π/3, π/2, π, 2π
Write all these special angles with a common denominator
to make working with them easier.
Example 1: Find the exact value of sin 75˚ Find the exact value of sin(5π/12)
Example 2: Find the exact value of cos 15˚ Find the exact value of cos(π/12)
Example 3: Find the exact value of tan(-15˚) Find the exact value of tan(-π/12)
Example 4: Simplify cos(5 π/12)cos(π/12)+sin(5 π/12)sin(π/12)
Homework: pg 400 #2,4,5,6,8
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- chapter 6 psychology learning quizlet
- chapter 6 psychology quizlet test
- psychology chapter 6 memory quiz
- psychology chapter 6 quiz
- psychology chapter 6 summary
- psychology chapter 6 study guide
- chapter 6 learning psychology questions
- psychology chapter 6 quizlet exam
- psychology chapter 6 answers
- quizlet psychology chapter 6 test
- chapter 6 quiz psychology quizlet
- chapter 6 flashcards quizlet psychology