U3D2 simplifying trig expressions.notebook

U3D2 simplifying trig expressions.notebook
Math Analysis AB ­ Unit 3 Day 2 Objectives: Simplify trigonometric expressions Thinking Skill: Develop confidence in reason
Warm Up: "Do you know your indentities?" Worksheet
Oct 26­4:52 PM
Ex 1: sec2x tan2x + sec2x Oct 26­5:01 PM
October 25, 2012
Simplifying Trig Expressions ­ Bag of Tricks
1.) Use obvious identities
2.) Change everything to sin/cosine
3.) Do algebraic operation (factor, distribute, add, divide, etc.)
4.) Deal with fractions ­ split or combine
5.) Multiply by the conjugate of the denominator
6.) Multiply by a fancy form of 1
Oct 26­4:58 PM
Ex 2: tan x ­ sec2x tan x
Oct 26­5:01 PM
Ex 3: sec2x ­ 1
sec2x
Ex 4: 5
tan x + sec x
Oct 26­5:01 PM
Oct 26­5:01 PM
1
U3D2 simplifying trig expressions.notebook
Ex 5: cos2(π/2 ­ x) + cos2(­x)
October 25, 2012
Try These: sin (­x) + cos2(­x)
csc x sec x sin x + cos (π/2 ­ x)
1 + sec x
Oct 26­5:01 PM
Oct 26­5:01 PM
BOOK PROBLEMS:
Oct 26­5:05 PM
Oct 26­5:15 PM
Oct 26­5:10 PM
2