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Advanced Math/Precalculus 2022 > SYMKC Week 4 > Flashcards

SYMKC Week 4 Flashcards

1
Q
A

positive angle

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2
Q

1 radian is approximately __________ degrees.

A
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3
Q

An angle that rotates clockwise

A

negative angle

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4
Q

two angles in standard position that have the same terminal side

A

coterminal angles

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5
Q

determined by rotating a ray about its endpoint

A

angle

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6
Q

What does DMS stand for?

A

Degrees, minutes, seconds measure of an angle.

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7
Q

in an angle, its the endpoint of the ray

A

vertex

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8
Q

in an angle, its the ray that rotates to a final position after rotation

A

terminal side

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9
Q

Area of a Sector Formula

A

The angle must be in radians!!!

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10
Q

360 degrees = __________ revolution of a circle

A

1 revolution

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11
Q

1 minute ( ‘ ) = ________ seconds

A

60 “

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12
Q

List the steps to convert a decimal degree to DMS

A

1) Write the whole number degree with its symbol.
2) Multiply the right side of the decimal by 60. Use the whole number to write your minutes.
3) Multiply the right side of the decimal from #2 by 60. Use the whole number to write your seconds. Round if necessary

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13
Q

Formulas for 30-60-90 triangle relationship

A
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14
Q

fraction of a total circumference

A

arc length

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15
Q

Angular Velocity units

A

radians per unit of time

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16
Q

Angular Velocity Definition

A

the rate that measures changes in the wheel’s central angle over time

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17
Q

Another way to measure angles besides a degree measure

A

radians

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18
Q

Linear Velocity Formula

A

v = s/t = r (angle)/t = wr

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19
Q
A

An angle in standard position

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20
Q

List the steps to convert DMS angle into decimal degree

A
  1. Leave the degree alone.
  2. Divide the minutes by 60.
  3. Divide the seconds by 3600
  4. Add the degree + minutes + seconds from above.
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21
Q

Formulas for 45-45-90 triangle relationship

A
22
Q
A
23
Q

Name this greek letter

A

alpha

24
Q

Convert a degree measure to a radian measure (formula)

A
25
Q

Coterminal angle formula in degrees

A
26
Q

arc length formula

A

s = arc length (units same as radius)
r = radius
theta = angle measure in MUST be in RADIANS

27
Q

Name this greek letter

A

gamma

28
Q

Write the symbol for the greek letter omega

A
29
Q

Circumference of any Circle

A
30
Q

1 complete circular revolution = _________ radians

A
31
Q

Name this greek letter

A

theta

32
Q

Name the (6) basic trigonometric functions

A

sine
cosine
tangent
cosecant
secant
cotangent

33
Q
A

Negative angle

34
Q

Linear Velocity Units

A

dimensions of length per unit of time

35
Q

Length of the arc = length of the radius of a circle

A

1 radian

36
Q

in an angle, its the side that does not move, the starting position

A

initial side

37
Q
A
38
Q

An angle that rotates counterclockwise

A

positive angle

39
Q

1 degree = ___________ seconds

A

3600 “

40
Q
A
41
Q

1 degree of a circle = ________ minutes

A

60’

42
Q

Name this greek letter

A

beta

43
Q
A
44
Q
A
45
Q
A

coterminal angles

46
Q
A
47
Q

In the pythagorean theorem, which side is the longest side? Name the variable.

A

c

48
Q

Pythagorean Theorem

A
49
Q

Convert a radian measure to a degree (formula)

A
50
Q

Why do we use radian measures?

A

mathematicians saw a need for another unit of measure because they needed angle measurements to cancel out. This type of measure is needed in calculus to help simplify certain mathematical and physical formulas.

51
Q

Angular Velocity Formula

A
52
Q

an angle that is placed on a coordinate plane, with the vertex at the origin and the initial side on the positive x-axis

A

Standard Position

Advanced Math/Precalculus 2022 (2 decks)

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