JEE Mains & Advanced – Compound Angles Handwritten Notes | Trigonometry Made Easy with Formulas & Examples

-7he age boofc sum o bwo oY m
moTe
Called cornpound ongle.
angles
tormuoe
sinA Ces3 + CosA sin B
Sin (A+) -=ginA-
A- Cos B - -sinf-sin 3
2 Cos (A4B) = cos
tan A 4 tan B
1- tonAtanbas
CotA"cotB -1
Cot (A4B) = CotA t Cot B

-0) = sincosB - cosA - Sin B
5 Sin (9
D
cosl- cosB + stnA sinB
6 Cos (g-B) =
tanA - tan B
tan (A -B)=

8 cot (A-B) Cot A. cotB +|
Cot B cotA

4 Sinlo+ 0)+ sin(e-B) = 2sinA- cosB
2cosA cosB
10 Cos (A+3)+ ces (a -e)
I-sn (a+6)- Sin (A-B)-2snB-ces A
2Ces(9+)ces(A-) =-2sinA "sin g
13 cos(A-8) - Cos (P+B) 2 sinA .sin B

,15 Cos(94 B)· cos(A- ) =cosA -
sio
l6.
tan(A+8)tan (A-B)=_-ton'P-tar.
|-ta'
cot (A4B). cot (a-) - Cot
tortb
co'B
’Exomplesi
cosA+ SinA
|- tanf cosA -SinA
&et. ton(n+B): tonA ++tan 8
a1-tantan

tan tonp]
tan


44 ton



CosA




Ces A

, CoSA + SinA
Cos'

cosA - sinA
CosA


Cosf) + sin A
cOsA -sin A

votsos of Is° ond a5',
* goronmebie
()/Prove thot gin l5°= V3-1
22

45-30
-3ß)
sinA-cosB - sinB cosA
sin (p-B) =
o Cos4s
sin 15 = obGcos 30- in30
Sin 15° X X
2 2




22 2/2

2N2

Hence proved