Download Math Analysis Honors – MATH Sheets M = Modeling A = Again T

Math Analysis Honors – MATH Sheets
M = Modeling
A = Again
T = Today’s Topic H = Homework
#116 Thursday 3/19___________________________
cot 
M
Ex. 1 Simplify
by rewriting each trigonometric function in terms of sine and cosine.
csc
1  sin  cot   cos
Ex. 2 Simplify
by rewriting each expression with a common denominator.

sin 
cos
sin 2   1
Ex. 3 Simplify
by factoring.
tan  sin   tan 
1
A
Graph the function: f  x   sin  x 
2
T
How can trigonometric identities be used to simplify expressions?
H
Worksheet 94
#117 Friday 3/20_____________________________
M
Ex. 1 Establish the identity: csc  tan   sec
Ex. 2 Establish the identity: sin 2     cos2     1
Ex. 3 Establish the identity
A
T
H
cos
1  sin 
by multiplying the numerator and denominator by 1  sin 

1  sin 
cos
None
How can trigonometric identities be used to establish other identities?
Worksheet 95
#118 Monday 3/22___________________________________
M
Ex. 1 a) Find the exact value of cos 75 b) Find the exact value of sin105

5
Ex. 2 a) Find the exact value of cos
b) Find the exact value of cos
12
12
Ex. 3 sin80 cos 20  cos80 sin 20
A
Solve the equations: 1) 2 x3  5 ; 2) x2  5x  10
T
Sum and Difference Formulas - How can you use Sum and Difference Formulas to Find Exact Values?
H
Worksheet 96
#119 Tuesday 3/23__________________________________
2
3
4

, where    
M
Ex.1 Find the exact value of cos     if sin   , where     and sin   
.
2
5
2
5
5

4

, where 0   
and sin    , where     0 .
5
2
5
2
Find the distance between the points  2, 3 and  5,1 .
Sum and Difference Formulas – How can Sum and Difference formulas be used to establish identities?
Worksheet 97
Ex.2 Find the exact value of sin     if cos  
A
T
H
#120 Wednesday 3/24______________________________
3

M
Ex. 1 If sin   , where     , find
5
2
a) sin  2 
b) cos  2 
Ex. 2 Develop a formula for tan  2  in terms of tan 
A
Ex. 3 Develop a formula for sin  3  in terms of sin  and cos 
None
T
H
How can Double-Angle Formulas be used to Find Exact Values and establish identities?
Worksheet 98
#120 Thursday 3/25______________________________
M
Ex. 1 Find the exact value of:
a) cos15
b) sin  15 
c) cos  22.5
3
3
Ex. 2 If cos   , where    
find the exact value of:
5
2
a) sin
A
T
H

b) tan

2
2
Ex. 3 Write an equivalent expression for cos4  that does not involve powers of sine and cosine greater than 1.
None
How can Half-Angle Formulas are used to Find Exact Values and establish identities?
Worksheet 99
#121 Friday 3/26__________________________________
M
None
A
None
T
Test – Trigonometric Identities
H
None