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enony
co.5=J2+13+14-+JK)| Data
Paga
DSinALB=Sint.cosß cosAänb
2cos(AfB EE CoLAc0BK E 23m43inB
antAtB)=tanA *anl
1FtanAtanb
Cat(AL8)=CohA coB 1
s in2A=2sio4cosA=2/aa
1+anA
KCas2A=Co8A-sin'A=-2.i4A=1-anA4
L+ A-
= 2cogA-1_
a 24 27anA
1-AamA
caa-1t cos2D_
n 28
Ct24 = CoA--1
2cat4
2in3A =3aim4-4%in4
10CO&3A= 4ca234 -3coLA
Tan3A= 3tanA-Aan4
1-3tanA
22nLs0+a) 2in!sn-e)aine= n (30
4
13 caslco+a)ca8lko-plco38= Co(Ge
1 ank0LA Aanl60-0)aa=~an30
M
m 153-1co845"|
2J2
2 Fin9s° Pegc
15 S2anA+&in-2siaA+8 casA-
27
2
an-mb-2cas A+Bin A-B
2 2/
13 aafcosB_9_Cas (A+8talA-3
L2
18 caA-caab--2 sn/A48an
2 /
23n Acoaß =lAtB-+snA-8
2 cosA&nl= mA+B-&n[A-B
2.castco38 = cos (A+8)+co0blA-B
2&hnA&nb=_co3(A+8-cOS[A-B
19 an3dan 2AtrnA=tansA-tanlA-tun
20
1-S2tS4 St
21 3n(4+B)dinl4-Rc einA-28=cos8-cus
22 Ca&l+BcoslA-B)=Cco8'A-Sh"B= casß-x
l8chiokeragks in H hn 8c8-H R
Paga:
23caAcos2.A.caL2A.cuta. -
C182
2"in9
A=
24nA+A28=1
25 ShenanalaanR inAP
IcOia SLB coS+CO3[A+R+ CO3(A+28)+
tsos(A+h18)= Lo&/A -)8)
2
C Sinh+2in(A+R+ 2n/4+28)+.
tiintn-R=alA, M-1B n
2.
LLn/2.
2.6 9= a8inA+ cas
2 hug Lecana LfapelA Fap
+2)
ng (i, in8=sinbr-B))
2.8 2inA=sinb od Co30cA =CasDb
n£z
A = n z t + ' 6
2 1cosA=coab 82e.f=acK
A=2nzt+bk
3D nA =danß az_cttA= CAAB
A=
nZ+B_
31)9TA
A=tt
A=nzTtR
32 +c-3abe-la+blaa)h+
qRa3a-3ae=0
lattce0 a=h=C dond hcO-NOba-.
th+la++c-at-bc
33 SieHule C C
a Sinß_ain R
a
-+B+C)EJT
her, R rumaadis
Data
Paga
a=2hkaah=2isnhC2hshnl
344Cosnitulk:casA=lacai
2
casb=/ahc-42
L 2a
nC/at,
2a
3s h a=hcoe+CcA8B
b-C.LOLIHL
b+C (2/
2
aa/-8]
2
34Agathe Toaago[PBC|(a):
A abinl=hoani=acB5.
aC
Cere
Pece
Hzsmiala, A == -a)-//-C
& nd atbteC
2
40 la+h-c)=2/8-c h+C-a)=2(8-4
a b)=2/3-4
cagh 8-a CO8 BB S/-4)
2 aC
&in A -h)S-c
1oC
S-a)8-L
2 2
in b
aC
A 2 8-a) 2 38-
42)Cizcmc : hey
heNLEtets a A
abe
4-4
28inb 2&mC
ara:-
Paga
rzadius
ala
=-atanA=blab= 8-Ctan
2 2
n -asin in
2
A
44)Ex-cesLS hnid y
K
S-a 8-C
2
8= 4 &mtLcos5caS
2
4R-Snco3A_ca3
O3= 4-Rin esAcA 2
2
Page
- 4 1 acae 3 oy-CpAS_aMO ae 4p
4 xco.dalfien
g-4Rco
=4R coR T=4Kc08.
4 wWonlssnngtulty a geaalgot a A
A2 2.2
gLlatenal idnalp
480thocaz atlcooenoy ahtuda
190a Ayclic gnadailateal2c2un B
eppodite a is_180°_2
Date
Paga
5oThimois nu_am ezda! a ete f
hudi3 Dm mon-gktdongled
C
- m -
>D-n
2onn)cotA= n cat-mcotC

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Trigonometry Formulas (Class 11th & 12th).pdf

  • 1. enony co.5=J2+13+14-+JK)| Data Paga DSinALB=Sint.cosß cosAänb 2cos(AfB EE CoLAc0BK E 23m43inB antAtB)=tanA *anl 1FtanAtanb Cat(AL8)=CohA coB 1 s in2A=2sio4cosA=2/aa 1+anA KCas2A=Co8A-sin'A=-2.i4A=1-anA4 L+ A- = 2cogA-1_ a 24 27anA 1-AamA caa-1t cos2D_ n 28 Ct24 = CoA--1 2cat4 2in3A =3aim4-4%in4 10CO&3A= 4ca234 -3coLA Tan3A= 3tanA-Aan4 1-3tanA 22nLs0+a) 2in!sn-e)aine= n (30 4 13 caslco+a)ca8lko-plco38= Co(Ge 1 ank0LA Aanl60-0)aa=~an30
  • 2. M m 153-1co845"| 2J2 2 Fin9s° Pegc 15 S2anA+&in-2siaA+8 casA- 27 2 an-mb-2cas A+Bin A-B 2 2/ 13 aafcosB_9_Cas (A+8talA-3 L2 18 caA-caab--2 sn/A48an 2 / 23n Acoaß =lAtB-+snA-8 2 cosA&nl= mA+B-&n[A-B 2.castco38 = cos (A+8)+co0blA-B 2&hnA&nb=_co3(A+8-cOS[A-B 19 an3dan 2AtrnA=tansA-tanlA-tun 20 1-S2tS4 St 21 3n(4+B)dinl4-Rc einA-28=cos8-cus 22 Ca&l+BcoslA-B)=Cco8'A-Sh"B= casß-x
  • 3. l8chiokeragks in H hn 8c8-H R Paga: 23caAcos2.A.caL2A.cuta. - C182 2"in9 A= 24nA+A28=1 25 ShenanalaanR inAP IcOia SLB coS+CO3[A+R+ CO3(A+28)+ tsos(A+h18)= Lo&/A -)8) 2 C Sinh+2in(A+R+ 2n/4+28)+. tiintn-R=alA, M-1B n 2. LLn/2. 2.6 9= a8inA+ cas 2 hug Lecana LfapelA Fap +2)
  • 4. ng (i, in8=sinbr-B)) 2.8 2inA=sinb od Co30cA =CasDb n£z A = n z t + ' 6 2 1cosA=coab 82e.f=acK A=2nzt+bk 3D nA =danß az_cttA= CAAB A= nZ+B_ 31)9TA A=tt A=nzTtR 32 +c-3abe-la+blaa)h+ qRa3a-3ae=0 lattce0 a=h=C dond hcO-NOba-. th+la++c-at-bc 33 SieHule C C a Sinß_ain R a -+B+C)EJT her, R rumaadis
  • 5. Data Paga a=2hkaah=2isnhC2hshnl 344Cosnitulk:casA=lacai 2 casb=/ahc-42 L 2a nC/at, 2a 3s h a=hcoe+CcA8B b-C.LOLIHL b+C (2/ 2 aa/-8] 2 34Agathe Toaago[PBC|(a): A abinl=hoani=acB5. aC
  • 6. Cere Pece Hzsmiala, A == -a)-//-C & nd atbteC 2 40 la+h-c)=2/8-c h+C-a)=2(8-4 a b)=2/3-4 cagh 8-a CO8 BB S/-4) 2 aC &in A -h)S-c 1oC S-a)8-L 2 2 in b aC A 2 8-a) 2 38- 42)Cizcmc : hey heNLEtets a A abe 4-4 28inb 2&mC
  • 7. ara:- Paga rzadius ala =-atanA=blab= 8-Ctan 2 2 n -asin in 2 A 44)Ex-cesLS hnid y K S-a 8-C 2 8= 4 &mtLcos5caS 2 4R-Snco3A_ca3 O3= 4-Rin esAcA 2 2
  • 8. Page - 4 1 acae 3 oy-CpAS_aMO ae 4p 4 xco.dalfien g-4Rco =4R coR T=4Kc08. 4 wWonlssnngtulty a geaalgot a A A2 2.2 gLlatenal idnalp 480thocaz atlcooenoy ahtuda 190a Ayclic gnadailateal2c2un B eppodite a is_180°_2
  • 9. Date Paga 5oThimois nu_am ezda! a ete f hudi3 Dm mon-gktdongled C - m - >D-n 2onn)cotA= n cat-mcotC