Download Chapter 8 Note Cards

Directions: Cut out the definitions. Find the vocabulary term that matches each definition given. CHAPTER 8
1.
The study of the properties of triangles and
trigonometric functions and their applications.
2.
For any positive numbers a and b, the positive
number x such that a
‗
x
x
b
3.
When the initial point of a vector is at the origin.
4.
The length of a vector.
5.
A group of three whole numbers that satisfies the
equation a² + b² = c², where c is the greatest
number.
6.
The __________ function of ___________, or tan⁻¹. If the
tangent of an acute ∠A is equal to x, then tan⁻¹ x
is equal to the measure of ∠A.
7.
8.
Let ΔABC be any triangle with a, b, and c representing the measures of
sides opposite the angles with measures A, B, and C respectively. Then
the following equations are true.
a² = b² + c² - 2bc cos A
b² = a² + c² - 2ac cos B
c² = a² + b² - 2ab cos C
Let ΔABC be any triangle with a, b, and c representing the measures of
sides opposite the angles with measures A, B, and C respectively.
Then,
9.
The __________ function of ___________, or cos⁻¹. If the
cosine of an acute ∠A is equal to x, then cos⁻¹ x is
equal to the measure of ∠A.
10.
The __________ function of ___________, or sin⁻¹. If the
sine of an acute ∠A is equal to x, then sin⁻¹ x is
equal to the measure of ∠A.
11.
For an acute angle of a right triangle, the ratio of
the measure of the leg adjacent to the acute angle
to the measure of the hypotenuse.
12.
For an acute angle of a right triangle, the ratio of
the measure of the leg opposite the acute angle
to the measure of the hypotenuse.
13.
The Angle between the line of sight and the
horizontal when an observer looks downward.
14.
The angle between the line of sight and the
horizontal when an observer looks upward.
15.
A directed segment representing a quantity that
has both magnitude, or length, and direction.
16.
A vector expressed as an ordered pair,
(change in x, change in y).
17.
For and acute angle of a right triangle, the ratio of
the measure of the leg opposite the acute angle to
the measure of the leg adjacent to the acute angle.
18.
The measure of the angle that a vector forms
with the positive x-axis or any other horizontal
line.
19.
The sum of two vectors.
20.
A ratio of the lengths of sides of a right triangle.
sin A
a
‗ sin B ‗ sin C
b
c
Directions: Cut out the definitions. Find the vocabulary term that matches each definition given. CHAPTER 8