Unit 1 vocab

Question 1

Angle

Answer 1

Formed by two rays that have a common endpoint

Question 2

Two sides of angles

Answer 2

Initial side and terminal side

Question 3

Vertex

Answer 3

Origin of angle

Question 4

Positive angle

Answer 4

Generated by counterclockwise rotation

Question 5

Negative angle

Answer 5

Generated by clockwise rotation

Question 6

Quadrantal angle

Answer 6

An angle where the terminal side lies on the x-axis or the y-axis

Question 7

Acute angle

Answer 7

Measures less than 90

Question 8

Right angle

Answer 8

90 degree measure

Question 9

Obtuse angle

Answer 9

180 > measure > 90

Question 10

Straight angle

Question 11

Standard position

Answer 11

An angle where its vertex is at the origin and its initial side lies along the positive x-axis

Question 12

Central angle

Answer 12

An angle whose vertex is the the center of a circle

Question 13

Radian measure

Answer 13

The measure of the intercepted arc’s length divided by the circle’s radius

Question 14

Angle measures

Answer 14

Amount of rotation from initial to terminal side

Question 15

1 radian

Answer 15

Measure of the central angle = length to the radius of the circle = 1 radian

Question 16

Measure of central angle

Answer 16

Arc length (s) / circle radius (r) = theta

Question 17

Degrees to radians

Answer 17

Degrees * (pi radians / 180 deg) = radians

Question 18

Radians to degrees

Answer 18

Radians * (180 deg / pi radians) = degrees

Question 19

Arc length

Answer 19

Circle radius (r) * radian central angle (theta) = s

Question 20

Coterminal Angles

Answer 20

Two angle with the same initial and terminal sides but possibly different rotations

Question 21

Even functions

Answer 21

1) Symmetric with around y-axis
2) (x,y)=(-x,y)

Question 22

Odd function

Answer 22

1) Symmetric around the origin
2) (x,y) = (-x,-y)

Question 23

Pythagorean Identities

Answer 23

1) sin^2t + cos^2t = 1
2) 1 + tan^2t = sec^2t
3) 1 + cot^2t = csc^2t

Question 24

Periodic functions

Answer 24

The function circles back around to the same quadrant

Question 25

Reference Angle

Answer 25

A positive acute angle formed by an angle’s terminal side and the x-axis

Question 26

Reference Angle

Answer 26

A positive acute angle formed by an angle’s terminal side and the x-axis

Question 27

Amplitude

Answer 27

The height of the neutral position to the max/min. Because amplitude is a distance, it is always positive.

Question 28

Period

Answer 28

The distance required for the function to complete one full cycle

Question 29

Period

Answer 29

The distance required for the function to complete one full cycle