120 Notes Section 2.3 Finding Trig Values Using a Calculator
1. Using the calculator to evaluate trig values.
Ex) Evaluate each trig function.
3518! =
104 =
Ex) Find an angle, in 0, 90 , that satisfies each equation.
= .7351
= 5.97
= 1.297
= 4.53
2. G
120 Notes Section 1.3 Trigonometric Functions
1. Definitions of Sine, Cosine, Tangent, Secant, Cosecant, Cotangent
Let be a point on the terminal side of an angle, , in standard position.
Trig Function Definitions
= (, )
=
=
=
=
=
=
=
Ex) The termi
120 Notes Section 1.2 Angle Relationships and Similar Triangles
1. Angles formed by intersecting lines.
Vertical Angles are Congruent (Equal)
1
4
Linear Pairs form Supplementary Angles
2
3
2. Angles formed when two parallel lines are cut by a transversal.
142 Notes Section 2.5 Applications of Right Triangles
There are two types of bearing.
Bearing given as a single degree measure
1. Make a starting point.
2. From the starting point, draw a dotted line to the North.
3. Draw a curved arrow traveling clockwis
120 Notes Section 3.2 Applications of Radian Measure
1. Arc Length
Recall arc length from Geometry,
!
= !"#
=arc length , =circumference,
in degrees
If we substitute =
r
2 and convert to radian measure,
S
Ex) Find in degrees-minutes
12.2 cm
8 cm
Ex) L
120 Notes Section 2.4 Solving Right Triangles
1. Significant Digits.
When rounding, an answer can be no more accurate than the LEAST
ACCURATE number used in the calculation
Ex) Solve for .
5.2
x
6.97
2. Accuracy of measurements
Answer
rounded
to
18
18.0
1
120 Notes Section 2.2 Trig Functions of Non-Acute Angles
1. Reference Angle the acute angle formed between the terminal
side of and the nearest x axis.
Ex) Find the reference angle for = 207
90
180
0, 360
270
Ex) Find the reference angle for = 280
90
180
120 Notes Section 3.1 Radian Measure
1. Definition of Radian We say = 1 radian when it intercepts an arc length, S,
equal in length to the radius of the circle.
When = = 1
When = 2 =
When = 2 =
S=2r
S=2r
r
S=r
r
r
=1
Degrees Radians
Converting from Degree