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