ReferenceCheatSheetforTrig
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ReferenceCheatSheetforTrig
ReferenceCheatSheetforTrig
ReferenceCheatSheetforTrig
FormulatomemorizeforMAC1114Test1
tan sin cos
cot cos sin
csc 1
sin sin
1csc
sec 1
cos cos
1sec
sin
csc
cos
sec
tan
cot
1
1
1
tan cot 1
csc sin 1
sec cos 1
FormulatomemorizeforMAC1114Test1
cos and its cousin are even functions sin and everything else are odd functions
Evenfunctionsthenegativeinfrontofdisappears. Oddfunctionthenegativegoesinfrontofthetrigfunction.
Evenfunctionsaresymmetricacrosstheyaxis. Oddfunctionsaresymmetricacrosstheorigin.
SumordifferenceFormula
sin sin cos cos sin
sin cos ,
tan , 2
cot ,
sec , 2
csc ,
sin cos 1, 1
tan cot , ,
sec csc , 1 1,
TherulesfortheDomain
TherulesfortheRange
Evenfunctionsaresymmetricalacrosstheyaxisandoddfunctionsaresymmetricalacrosstheorigin
cos sin
Evenfunctionsthenegativeinfrontofdisappears. Oddfunctionthenegativegoesinfrontofthetrigfunction.
FormulatomemorizeforMAC1114Test1
sin sin cos cos sin
cos cos cos sin sin
cos cos cos sin sin
tan tan 1 tan tan
tan 1
DoubleAngleFormula
sin2 2sin cos
cos2 2 1
1 2
tan2 2
1
FormulatomemorizeforMAC1114Test1
HalfAngleFormula
:
sin 2
1 cos
2
cos 2
1 cos
2
tan 2
sin
1 cos
1 cos
sin
1 cos 1 cos
CoFunctions
sin 2
cos cos 2
sin
sec 2
csc csc 2
sec
tan 2
cot cot 2
tan
Section6.5 Youcantdothe or ofanythingbiggerthan1orsmallerthan1 Youcando ofanything
Section7.1
Alltheproblemsinthissectionareright Whendealingwithrightneverfindthemissingangles.Justworkwithwhatsgiven.
Section7.2 Usethelawofsinewhenyouhave(orcanhave)atleast2angles.
Howmanys?
Step1: 1
Step2: sin
Step3: sin 0
sin 1
sin 2
x,y,
Section7.3
Lawofcosine
Usethelawofcosinewhenyouonlyoneangleorless.
Section7.4
, ,
5.7noitceS
rO
Section8.1
PolarRectangular
RectangularPolar
Represent, ,
Represent, ,
Anegativeradiusinvertonitself(acrosstheoriginal,
2 sin cos sin 2 2
DoubleAngleFormula
Section8.2
Symmetricwithrespecttotheyaxisgraphsfoldseasilyacrosstheyaxis Symmetricwithrespecttothexaxisgraphsfoldseasilyacrossthexaxis
Section8.3
tan
cos
cos sin
cos
Yourfinalanswerforzisneverequaltoanythingsquare,cube,etc.
cos
1
Whenisnotgiven
5
5
2
5
5
32
2Where 0,1, 1
Reference Cheat Sheet for Fall 09Trig Formula Cheat Sheet for Test 2