trigonomentry Flashcards
2 pi =
360
pi=
180
pi/2=
90
pi/3=
60
pi/4
45
pi/6
30
small angle aproximations:
sin@=
cos@=
tan@=
in formula booklet
sin 30=
1/2
sin 60=
(root 3 )/2
sin 45 =
1/root 2
cos 30=
(root 3)/2
cos 60=
1/2
cos 45=
1/ root 2
tan 30=
1/ root 3
tan 60=
root 3
tan 45=
1
tan @ =
sin @ / cos@
solving for solutions of sin @
1st sin-1(@)
2nd 180-1st
3rd +- 360
solving solutions for cos@
1st cos-1(@)
2nd 360 - 1st
3rd +- 360
solving solutions for tan@
1st tan-1(@)
2nd and 3rd +- 180
cosec@ =
1/sin@
1/cosec@=
sin@
sec@ =
1/cos@
1/sec@ =
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
