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@yongpizza
Fugonometry's Formulas form
Phys thaorean Identities
Sin² + Cos² 0
Sec
-
=
tan 0 = 1
CSC²-cot²
= 1
Function Relationship
Power Reducing formulas
Sin²=1-COS 20
2
Cos² = 1 + cos 20
2
tan
=
COS 20
1+ cos 20 p
Cofunction Formulas Cin Quandrant I)
| Sine = cos (10) | cos 0 = sin (10)
tane-cot (1-0) cote-tan (I_0)
-tan(1-0)
sect-csc(-) csc-sec(I_0)
(T_0)
Sin 0 = 1
csce
csc0 = 1
tane-1 cot
Sing
cos 0=.
1
sec
Seco = 1
COSA
cote
tane sine
Cose
tano
cot-cose
Sine
Are length
Arc length ab+c-2bc cos.
Law of Cosines
A
Law of Tangents
Law
Sines
S-re
b2a2+ c²-2ac cos B
a-b tanlCA-B)]
a
=
=
=
Ca² b²-2ab cos c
a+b tan(A+B)]
Sin A Sin B
=
Sin C
C
Sum-to-Product Formulas?
Product-to-Sum Formulas
COS A-B
2
COS(A+B)
Sin A SinB = [cos (A-B) - Cos (A+B)] | Sin A + Sin B = 2 × sin (A±!
in (A+B) *
COSA - COSB = 1 [COS CA-B) + COSCA+B)] | Sin A - Sin B = 2 * sin (A-B) * COS (A+B
Sin A* co&B = 1½ [Sin (A+B) + sin(A-B)] COSA + cos B-2=COS (A+B) *COS (A-B)
cos A-sin B = 1 [Sin (A+B) - Sin(A-B)] COSA-COS B =-2* Sin (A+B) » Sin (A-B)
Angle Addition Formulas
Sin (A+B)
Sin (A-B) Sin A Cos B - Cos A Sin B
= Sin A cos B + cos A sin B tan (A+B)=tan A+tan B
=
COS CA+B) = COSA cosB - Sin A SinB tan
=
Cos CA-B) COSA COSB + sin A Sin
pposites Angle
Formulas
Sin (-0)
COS (-A)
tanc-0)
cot (-)
Sec(-0)
=
= - Sin Co)
COS CA)
-tan (0)
cotco)
sec ce
CSC (-6)=-CsC(O)
Half Angle
Formulas
Sin
1-cose
2
2
COS 01+cose
2
2
tane-1-Cose
=
=
1+ cose
= 1 - cose
Sine
Sine
1 + Cose
B
(A-B)=tanA-tan B
1-tan Atan B
1+tan AtanB
Double Angle
Formulas
Triple Angle
Formulas
2
Sin 20-2 sin cose Sin 30-3 sin 0-4 Sin³0
cos 20 = cos 20-sino cos 30 = 4c05³0-3 C050
= 1-2 sin 20
5200620-1
tan 20 = 2 tan
1-tan20
tan 30-3tano-tan³
=
1-3 tan20