Notes Over 6.2

1
Notes Over 6.2
Trigonometric Ratios
SOHCAHTOA
SOH
2
Notes Over 6.2
Trigonometric Ratios
3
Notes Over 6.2
Trigonometric Ratios
Evaluate the six trigonometric functions of the
given angle q.
1.
q
6
8
4
Notes Over 6.2
Trigonometric Ratios
Evaluate the six trigonometric functions of the
given angle q.
1.
q
10
6
8
5
Notes Over 6.2
Trigonometric Ratios
Evaluate the sin, cos, and tan of 45o.
2.
45
1
45
1
6
Notes Over 6.2
Trigonometric Ratios
Evaluate the sin, cos, and tan of 30o and 60o.
3.
60
2
1
30
7
Notes Over 6.2
Trigonometric Ratios




undef.
8
Notes Over 6.2
Trigonometric Ratios
Find the value of each using the table.
9
Notes Over 6.2
Trigonometric Ratios
Find the value of each using a calculator.
10
Notes Over 6.2
Trigonometric Ratios
Find the missing side lengths x and y.
10.
x
4
30o
y
11
Notes Over 6.2
Trigonometric Ratios

1. The Kings surveyor is standing 100 feet from the
   base of his daughters tower. If he measures the
   angle of elevation to the top of the tower to be
   63.5o, then how tall is the tower?

x
63.5o
100 ft
12
Notes Over 6.2
Fundamental Trigonometric Identities
Reciprocal Identities
Tangent and Cotangent Identities
Pythagorean Identities
13
Notes Over 6.2
Fundamental Trigonometric Identities
Cofunction Identities
Negative Angle Identities
14
Notes Over 6.2
Trigonometric Ratios
Find the values of the other five trigonometric
functions of q.
15
Notes Over 6.2
Simplifying a Trigonometric Expression
Use trigonometric identities to transform the
left side of the equation into the right side.
16
Notes Over 6.2
Simplifying a Trigonometric Expression
Use trigonometric identities to transform the
left side of the equation into the right side.
17
Notes Over 6.2