Chapter 4 Vocab

Question 1

determined by rotating a ray about it’s endpoint

Answer 1

Angle

Question 2

measurement of triangles

Answer 2

Trigonometry

Question 3

the starting position of the ray

Answer 3

initial side

Question 4

the ending position of the ray

Answer 4

terminal side

Question 5

the endpoint of the ray

Answer 5

Vertex

Question 6

when the origin is the vertex and the initial side coincides with the positive x-axis

Answer 6

Standard Position

Question 7

generated counterclockwise

Answer 7

Positive Angles

Question 8

Generated clockwise

Answer 8

Negative Angles

Question 9

when 2 angles hace the same initial and terminal side

Answer 9

Coterminal

Question 10

an angle whose vertex is the center of the circle

Answer 10

Central Angle

Question 11

the measure of a central angle “theta” that intercepts an arc s equal in length to the radius of the circle

Answer 11

Radian

Question 12

an angle whose measure is less than 90 degrees

Answer 12

Acute

Question 13

an angle whose measure is greater than 90 degress

Answer 13

Obtuse

Question 14

two positive angles which add up to 90 degrees

Answer 14

Complementary

Question 15

two positive angles which add up to 180 degrees

Answer 15

Supplementary

Question 16

equivalent to a rotation of 1/360 of a complete revolution about the vertex

Answer 16

Degrees

Question 17

=arc length/time or (s/t)

Answer 17

Linear Speed

Question 18

central angle/time or (“theta”/t)

Answer 18

Angular Speed

Question 19

x^2 + y^2 = 1

Answer 19

Unit Circle

Question 20

a function in which exists a positive real number c such that f(t+c)=f(t)

Answer 20

Periodic

Question 21

the least number c for which f is periodic

Answer 21

Period

Question 22

the longest side of a triangle

Answer 22

Hypotenuse

Question 23

side opposite to the angle of reference

Answer 23

Opposite Side

Question 24

side next to the angle of reference

Answer 24

Adjacent Side

Question 25

opposite/hypotenuse

Answer 25

Sin

Question 26

adjacent/hypotenuse

Answer 26

Cosine

Question 27

opposite/adjacent

Answer 27

Tangent

Question 28

Hypotenuse/opposite

Answer 28

Cosecant

Question 29

hypotenuse/adjacent

Answer 29

Secant

Question 30

Adjacent/Opposite

Answer 30

Cotangent

Question 31

given one side of a right triangle and one of the acute angles and asked to find one of the other sides or given two sides and asked to find one of the acute angles

Answer 31

Solving Right Triangles

Question 32

represents an angle from the horizontal upward to the object

Answer 32

Angle of Elevation

Question 33

the angle from the horizontal downward to the object

Answer 33

Angle of Depression

Question 34

the acute angle formed by the terminal side and the horizontal axis

Answer 34

Reference Angle

Question 35

the graph of the sine function

Answer 35

Sine Curve

Question 36

one period of the function

Answer 36

One Cycle

Question 37

y=a sin x, ranges between -a and a instead of between -1 and 1, absolute value of a

Answer 37

Amplitutde

Question 38

2pi/b

Answer 38

Period

Question 39

when the graph is shifted c units c/b

Answer 39

Phase Shift

Question 40

y=arcsin x or y= sin (-1) x

Answer 40

Inverse of SIne Function

Question 41

y=arccos x or y=cos (-1) x

Answer 41

Inverse of Cosine Function

Question 42

y=arctan x or y=tan (-1) x

Answer 42

Inverse Tangent Function