Day 1 ­ Chapter 7A.notebook
February 10, 2015
Algebra Review with Trig!!!
Add and subtract like terms.
Simplify the following:
Ex. sin(x) + sin(x) Ex. 3sin(x) ­ cos(x) + sin(x) ­ cos(x)
Ex. 2cot( )tan( ) ­ cot( )tan( ) 0
0
0
0
1
Day 1 ­ Chapter 7A.notebook
February 10, 2015
Multiply and Divide Expressions.
Simplify:
Ex. sin(x) sin(x)
Ex. 4(2sin(x)cos(x))
Ex. (2cos(x) ­ 1)2
Ex. 1
1
tan 0
2
2
Ex. 2cos sin 0
0
sin 4cos
0
0
2
Day 1 ­ Chapter 7A.notebook
February 10, 2015
Add and subtract expressions. Simplify:
Ex. cos(x) sin(x)
+
2sin(x) cos(x)
Ex. 2
sin(x)
+1
Take 5 minutes to work on the Algebra Review Wksh
3
Day 1 ­ Chapter 7A.notebook
February 10, 2015
7.1 ­ Trig Identities
Reciprocal Identities
Quotient Identities
0
sin =
0
csc =
0
cos =
sec =
0
0
tan =
cot =
0
0
tan =
0
cot =
Pythagorean Identities
2 + cos20
= sin 0
2 + 1 =
tan 0
2 + 1 = cot 0
4
Day 1 ­ Chapter 7A.notebook
February 10, 2015
Use the fundamental identities to get an equivalent expression involving only sines and cosines. Then simplify the expression.
1. tan + cot 0
0
2. secx cosx
3. 1 + tan x
1 + cot x
5
Day 1 ­ Chapter 7A.notebook
February 10, 2015
Simplify.
1. cot x
csc x
2.
1 + tan2x
csc2x
3. cotθtanθ
4. cotθsinθ
5. 2
2
2
2
(sec x + csc x) ­ (tan x + cot x)
6
Day 1 ­ Chapter 7A.notebook
February 10, 2015
Given an equation, use the graphing calculator to decide if it is an identity or not an identity.
1. 1 + tan2x = tan2x
csc2x
7
Day 1 ­ Chapter 7A.notebook
February 10, 2015
2. ( 1 + sin2x )
cos x
= cos x
8