trigonomentry Flashcards by Leoni Brady

Q

2 pi =

A

360

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Q

pi=

A

180

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Q

pi/2=

A

90

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Q

pi/3=

A

60

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Q

pi/4

A

45

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Q

pi/6

A

30

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Q

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

A

in formula booklet

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Q

sin 30=

A

1/2

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Q

sin 60=

A

(root 3 )/2

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Q

sin 45 =

A

1/root 2

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Q

cos 30=

A

(root 3)/2

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Q

cos 60=

A

1/2

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Q

cos 45=

A

1/ root 2

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Q

tan 30=

A

1/ root 3

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Q

tan 60=

A

root 3

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Q

tan 45=

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A

1

Q

tan @ =

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A

sin @ / cos@

Q

solving for solutions of sin @

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A

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

Q

solving solutions for cos@

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A

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

Q

solving solutions for tan@

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A

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

Q

cosec@ =

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A

1/sin@

Q

1/cosec@=

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A

sin@

Q

sec@ =

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A

1/cos@

Q

1/sec@ =

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A

cos@

cot@ =

1/tan@ = cos@/sin@

co-function: sin@ =

cos(90-@)

co fucntion: cos@ =

sin(90-@)

sin^2+cos^2 =

1

sec^2@=

1+tan^2@

cosec^2@ =

1+cot^2@

addtion formula

in formula booklet

sin2@ =

2sin@cos@

cos2@ =

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

tan2@ =

2tan@/1-tan^2@

sin^2 @ =

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

cos^2@=

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

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

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