trigonomentry Flashcards

1
Q

2 pi =

A

360

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2
Q

pi=

A

180

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3
Q

pi/2=

A

90

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4
Q

pi/3=

A

60

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5
Q

pi/4

A

45

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6
Q

pi/6

A

30

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7
Q

small angle aproximations:
sin@=
cos@=
tan@=

A

in formula booklet

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8
Q

sin 30=

A

1/2

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9
Q

sin 60=

A

(root 3 )/2

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10
Q

sin 45 =

A

1/root 2

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11
Q

cos 30=

A

(root 3)/2

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12
Q

cos 60=

A

1/2

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13
Q

cos 45=

A

1/ root 2

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14
Q

tan 30=

A

1/ root 3

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15
Q

tan 60=

A

root 3

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16
Q

tan 45=

A

1

17
Q

tan @ =

A

sin @ / cos@

18
Q

solving for solutions of sin @

A

1st sin-1(@)
2nd 180-1st
3rd +- 360

19
Q

solving solutions for cos@

A

1st cos-1(@)
2nd 360 - 1st
3rd +- 360

20
Q

solving solutions for tan@

A

1st tan-1(@)
2nd and 3rd +- 180

21
Q

cosec@ =

A

1/sin@

22
Q

1/cosec@=

A

sin@

23
Q

sec@ =

A

1/cos@

24
Q

1/sec@ =

A

cos@

25
Q

cot@ =

A

1/tan@ = cos@/sin@

26
Q

co-function: sin@ =

A

cos(90-@)

27
Q

co fucntion: cos@ =

A

sin(90-@)

28
Q

sin^2+cos^2 =

A

1

29
Q

sec^2@=

A

1+tan^2@

30
Q

cosec^2@ =

A

1+cot^2@

31
Q

addtion formula

A

in formula booklet

32
Q

sin2@ =

A

2sin@cos@

33
Q

cos2@ =

A

2cos^2@-1
1-2sin^2@
cos^2 - sin^2@

34
Q

tan2@ =

A

2tan@/1-tan^2@

35
Q

sin^2 @ =

A

1/2 -1/2 cos2@
rearrange double angle formula, useful in integration

36
Q

cos^2@=

A

1/2 +1/2cos2@
rearrange double angle formula useful in integration

37
Q

in Rcos(@+&) if Rcos@ = a and Rsin@ = b then

A

r= root(a^2 + b^2)
tan& = b/a