Mathematics Trigonometry, Cheat Sheet of Mathematics

Trigonometric formulas in a well mannered and neat handwriting

Typology: Cheat Sheet

2024/2025

Available from 11/27/2025

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Jomula Shudt
Sin(A+8) Sin Acos B +cos Asin Bsinte tcos'e =1
•SinCA -B) StnAcos 8-cosA Sin B•4 tane= sec?e
Cos(A+B) COsAcosB -SinA StnB •I+Cot?e =Cosec2e
•CosCA-B) Cos AcosB +SinAstnB Cos (-*) cos seeC): seck
•tan(A +B)= tan A+tan BStnC-)-Sinx
tan-x): -tanx Cot )-cotx
.tan(A-B) I-tan Atan B
tan A-tanB •tanA-Cos 2A
Sin 2A
|+tanA tan B•Cot A
.Cot(A+8)- C Bcot A-l Itcos2A
Sin 2A
cot B +cot A
Sin(-b) "cos
cot (A-B)= co+ Bcot A
Cot BCot Acos( E-e)stn e
Stn 2A 2Sin AcosA 1+ tan²A
2Han Aton(Ir 0) cota
Yct(0) -tone>
cos 2A=cosA -SinA ltan'A sc(m ): COsece
1tanA Corec( IT)= Sece
=|-25Tn?x 2costx|
tan 2A= 2tan Astnsn Ce)stn (6ot): Sin 3
|-tan?A .coccs(Go)-cos(Gor)- Cos
.cot 2A C 2A-| Tan Tant6o-4). Tan (6ot-)- Tan 3d
2cot A
Sin 3A 3S:nA -sin3A Sin A.Sin 8Sin2A
•Cos 3A =4cosA -2cos AstnA +stn B1
Tan 3A= 3tan AtanA Tan A. TanB1
T3tan"A
•cot 3A =cot 5A -3cot Aastne bcos0 ab (stn(8 +e))
3cot?A -I
Stn Csin D=25tn (eD) cos(c-D)atb2(cos(A-0)
.5inc-s:n D|(ab)(a6-2ah)
2cOS(). Sin(0) |4- Cal 6)2-2a
cosC tcosD2cos(cuD)cosf cp)la=(a+3)(a'tb'-ob)
ab= (a-b)Cat+b+ab)
cosC-CosD =-2 sin(ca)sin() Max value- Sat h
aSinz +bcosX Mta value

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Jomula

Shudt

Sin(A+8) Sin^ A^ cos B^ +cos Asin^ B^ sinte tcos'e^ =^1

•SinCA -B) Stn A cos 8-cosA Sin B

•4 tane= sec?e

Cos(A+B) COs^ A^ cosB - SinA StnB

•I+Cot?e = (^) Cosec2e

•CosCA-B) Cos^ A^ cosB^ + SinAstnB (^) Cos (-*) (^) cos seeC): seck

•tan(A (^) +B)= tan A (^) +tan B

StnC-)-Sinx

tan-x): -tanx^

Cot )-cotx

.tan(A-B)

I-tan A tan B

tan (^) A -tanB

•tanA-Cos 2A

Sin 2A

|+tanA tan B
•Cot A

.Cot(A+8)- C

Bcot A-l

Itcos2A

Sin 2A cot B (^) + (^) cot A

  • cot (^) (A-B)= (^) co+ Bcot A Sin( -b) "cos

Cot BCot A cos( E-e)stn e

  • Stn^ 2A^ 2Sin^ AcosA^ 1+ tan²A

2Han A ton(Ir 0) cota

Yct( 0) -tone>
cos 2 A =cosA -SinA

ltan'A (^) sc(m ): COsece

1 tanA

Corec( IT)=^ Sece =|-25Tn?x 2 costx|

  • tan^ 2A=^ 2tan^ A^ stnsn^
Ce)stn (6ot):^ Sin^3

|-tan?A (^) .coccs(Go)-cos(Gor)-

Cos

.cot 2A C 2A-| Tan Tant6o-4). Tan (6ot-)- Tan 3d

2cot A

  • Sin^ 3A^ 3S:nA - sin3A Sin A.Sin (^8) Sin2A
•Cos 3A^ =^ 4cosA^

-2cos A stnA (^) +stn B 1

  • Tan 3A= 3tan^ A^ tanA^ Tan A. TanB
T3tan"A
•cot 3A^ =^ cot^ 5A^ -^ 3cot^

A a stne^ bcos0^ ab^ (stn(8^ +e))

3cot?A -I

  • Stn^ C^ sin^ D^
= 2 5tn (eD) cos(c-D)atb2(cos(A-0)

.5inc-s:n D

|(ab)(a6-2ah) 2cOS (^) ( ). Sin(0) |4- (^) Cal 6)2-2a

  • cos C t cosD 2 cos(cuD)cosf c p)la=(a+3)(a'tb'-ob) ab= (a-b)Cat+b+ab)
cosC-CosD =-

sin(ca)sin()

Max value- Sat h

a Sinz +bcosX (^) Mta value