9.1_Sin,Cos,Tan.notebook
April 16, 2015
DIRT ­ Do I Remember This?
1. Solve the equation for the variable: −5(1 − 5x) + 5(−8x − 2) = −4x − 8x 2. Solve for the missing information.
x = _________
mo
8√2
y = _________
z
z = _________
o
x
m = _________
y
3. The following figure is a regular hexagon. What is the measure of each interior angle? Apr 15­10:42 AM
9.1 Tangent, Sine, and Cosine Ratios
Objective: To use tangent, sine and cosine to determine ratios triangles
SOH­CAH­TOA
SIN ϑ = opposite side hypotenuse side
(Short for sine)
COS ϑ = adjacent side
(Short for cosine)
hypotenuse side
TAN ϑ = opposite side (Short for tangent)
adjacent side
Apr 15­10:42 AM
9.1_Sin,Cos,Tan.notebook
April 16, 2015
Answer the following questions. Find the three trigonometric ratios. Be sure to reduce fractions, if possible. A
At which vertex is ? _________
ϑ
5
ϑ
With regard to , which side is the:
3
B
ϑ
4
C
hypotenuse? _____________ opposite side? _____________
adjacent side? _____________
Find the following: sin = _____
ϑ
ϑ
cos = _____
tan = _____ ϑ
Apr 15­10:45 AM
A
At which vertex is ? _________
ϑ
ϑ
ϑ
With regard to , which side is the:
hypotenuse? _____ What is its length? _____
12
5
B
13
opposite side? _____ What is its length? _____
adjacent side? _____ What is its length? _____
C
Find the following: sin = _____
ϑ
ϑ
cos = _____
tan = _____ ϑ
Apr 15­10:45 AM
9.1_Sin,Cos,Tan.notebook
April 16, 2015
At which vertex is ? _________
ϑ
B
ϑ
With regard to , which side is the:
8
hypotenuse? _____ What is its length? _____
A
opposite side? _____ What is its length? _____
ϑ
12
C
adjacent side? _____ What is its length? _____
Find the following: sin = _____
ϑ
ϑ
cos = _____
tan = _____ ϑ
Apr 15­10:46 AM
A
Find the following: sin = ____ ϑ
ϑ
4
ϑ
cos = ____
B
5
β
C
ϑ
tan = ____
sin = ____ β
cos = ____
β
β
tan = ____
Apr 15­10:46 AM
9.1_Sin,Cos,Tan.notebook
April 16, 2015
Using a calculator, find the value of each of the following to the nearest ten ­thousandth.
Quick Question: Which number below is in the ten­
thousandths place? 1234.567891234567
tan 44o
sin 35o
Apr 15­10:46 AM
Apr 16­9:28 AM
cos 16o