10.1-4

Question 1

Pythagorean Theorm

Answer 1

Used to find a side length on a right triangle

Question 2

Pythagorean Theorm Formula

Answer 2

a^2+b^2=c^2

Question 3

45-45-90

Answer 3

Leg = x
Leg = x
Hypotenuse = x*√2

Question 4

30-60-90

Answer 4

SL = x
LL = x*√3
Hypotenuse = 2x

Question 5

Trigonometric Function

Answer 5

A function whose rule is defined by a trigonometric ratio

Question 6

Trigonometric Ratio

Answer 6

Compares the lengths of two side of the triangle in relationship to one of the acute angles

Question 7

Theta

Answer 7

ø
Used to represent the measure of an acute angle in a right triangle

Question 8

Sine

Answer 8

Opposite/hypotenuse

Question 9

Cosine

Answer 9

Adjacent/hypotenuse

Question 10

Tangent

Answer 10

Opposite/adjacent

Question 11

Cosecant

Answer 11

1/sinø
Inverse of sine
Hypotenuse/opposite

Question 12

Secant

Answer 12

1/cosø
Inverse of cosine
Hypotenuse/adjacent

Question 13

Cotangent

Answer 13

1/tanø
Inverse of tangent
Adjacent/opposite

Question 14

Sin0=x

Answer 14

ø=sin^-1(x)

Question 15

Cos0=x

Answer 15

ø=cos^-1(x)

Question 16

Tan0=x

Answer 16

ø=tan^-1(x)

Question 17

Angle in Standard Form

Answer 17

When the vertex is on the origin and one ray lies on the positive x-axis

Question 18

Initial Side

Answer 18

Ray on the x-axis

Question 19

Terminal Side

Answer 19

The other one

Question 20

Counterclockwise Rotations

Answer 20

Result in positive angle measures

Question 21

Clockwise Rotations

Answer 21

Result in negative angle measures

Question 22

One Full Revolution

Answer 22

360 degrees

Question 23

Radian

Answer 23

A unit of angle measure based on arc length

Question 24

One Radian

Answer 24

Defined as the measure of the angle formed when the radius is equivalent to the length of the intercepted arc

Question 25

Circumference of a Circle

Answer 25

2rπ

Question 26

360 Degrees

Answer 26

2π radians

Question 27

180 Degrees

Answer 27

π radians

Question 28

Degrees to Radians

Answer 28

Degrees * (π/180)

Question 29

Radians to Degrees

Answer 29

Radians * (180/π)

Question 30

Coterminal Angles

Answer 30

Angles in standard position with the same terminal side

Question 31

Reference Angle

Answer 31

For angle ø, the positive acute angle formed by the terminal side and the x-axis

Question 32

ø Angle in Standard and P(x,y) On Terminal Side of Angle

Answer 32

Use distance from P to r formula

Question 33

Origin

Answer 33

r

Question 34

Distance From P to r

Answer 34

x^2+y^2=r^2

Question 35

Unit Circle

Answer 35

Circle with a radius of one unit

Question 36

Unit Circle Trig Values

Answer 36

Sinø=y Cosø=x Tanø=y/x

Question 37

Coordinate of P

Answer 37

(cosø, sinø)

Question 38

Quadrantal Angles

Answer 38

Angles on the axis

Question 39

Trig Functions Positve

Answer 39

QI all QII sin, csc QIII tan, cot QIV cos, sec

Question 40

Positive

Answer 40

>0

Question 41

Exact Value

Answer 41

Use unit circle not calculator

Question 42

cotø

Answer 42

x/y

Question 43

Undefined

Answer 43

1/0

Question 44

Changing Unit Circle Signs

Answer 44

QI (+,+) QII (-,+) QIII (-,-) QIV (+,-)

Question 45

Ask About

Answer 45

Simplifying trig ratios

Question 46

Coterminal Angles Explained

Answer 46

Add or subtract multiples to find both positive and negative coterminal The multiples will be based on whether getting the designated sign

Question 47

Reference Angles Explained

Answer 47

ø' QI reference will be same Can not be negative How far away the angle is from the nearest x-axis

Question 48

Trig Functions Explained

Answer 48

x and y values to form an angle and a right triangle Lable these in comparison to ø from the initial side Creates trig ratios