[ALG2] The Unit Circle - TRIG Flashcards

(37 cards)

1
Q

radians to degrees

A

180/pi

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2
Q

degrees to radians

A

pi/180

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3
Q

acronym for the quadrants

A

All (all)
Students (sine)
Take (tangent)
Calculus (cosine)

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4
Q

trick for 30/45/60 degrees

A

1) put 30, 45, 60
2) write 123 going down
3) write 123 going up
4) put everything over 2
5) put radicals in all numerators (1 is already a square root)

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5
Q

cosecant is the inverse of

A

sine

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6
Q

secant is the inverse of

A

cosine

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7
Q

cotangent is the inverse of

A

tangent

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8
Q

sin, cos, tan at 0/360

A

0, 1, 0

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9
Q

sin, cos, tan at 90

A

1, 0, undefined

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10
Q

sin, cos, tan at 270

A

-1, 0, undefined

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11
Q

something is undefined when

A

it is put over 0

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12
Q

tangent is

A

sine/cosine

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13
Q

cotangent is

A

cosine/sine

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14
Q

sine is the _ coordinate

A

y

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15
Q

cosine is the _ coordinate

A

x

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16
Q

reference angle is

A

from the angle measure back to x axis

17
Q

how do u get coterminal angles

A

add or subtract 360

18
Q

to get from a negative to positive angle u

19
Q

to get from (larger than 360) to 360 or less u

20
Q

formula to get sine if given cosine

A

x squared + y squared = 1

21
Q

relationships for 45-45-90 triangles

A

sl ll hyp
n, n, n radical 2

22
Q

relationships for 30-60-90 triangles

A

sl ll hyp
n, n radical 3, 2n

23
Q

sin is

24
Q

cosine is

25
tan at 0/360
0
26
tan at 30
radical 3/3
27
tan at 45
1
28
tan at 60
radical 3
29
tan at 90
undefined
30
tan at 180
0
31
tan at 270
undefined
32
cosecant and secant are
1/sin 1/cosine
33
first quadrant has
0-90
34
second quadrant has
90-180
35
third quadrant has
180-270
36
fourth quadrant has
270-360
37
how to find exact trig value
1) find reference angle (convert to degrees and make it between 0-360 if necessary) 2) will it be neg or pos? (based on quadrant) 3) write it as (pos/neg)(function)(ref angle) 4) get the value u need 5) adjust signs if necessary