Post on 06-Jan-2018
description
الرحم الرحمن الله بسمm„wó †m›Uªvj ¯‹zj GÛ K‡jR Gi c¶
†_‡K mevB‡K ¯^vMZg
MwYZ ‡cÖ‡R‡›UkbPresented By Mahmud
wbK bv‡gB mevB Zv‡K wP‡bPresented By Mahmud
wb‡Kvjvm fqvwPP "Young Australian of the Year"Presented By Mahmud
Presented By Mahmud
eccos1sin.1
sec1cos.2
cot1tan.3
tan1cot.4
cos1sec.5
sin1cos.6 ec
cossintan.7
sincoscot.8
1cossin.9 22
22 cos1sin
22 sin1cos
1tansec.10 22
22 tan1sec
1sectan 22
1cotcos.11 22 ec
22 cot1cos ec1coscot 22 ec
w·KvYwgwZK m~Îvejx :-AA
AA
AA cossin
cot1sin
tan1cos
1| cÖgvY Ki †h,
cÖgvY tAA
AA
cot1sin
tan1cos
evgc¶ =
=
=
=
Acos
1AA
cossin
Asin
1AA
sincos
Acos
AAA
cossincos
Asin
AAA
sincossin
A2cos
AA sincos
A2sin
AA cossin
=A2cosAA sincos
A2sin
AA sincos
=A2cos
AA sincos
A2sin
=)sin(cos AA
)sin(cos AA
)sin(cos AA
))((22 bababa
upwithcuttingFor
= )sin(cos AA = Wvbc¶
)sin(cos AA
AcosAA
Asincos
cos
Presented By Mahmud(cÖgvwYZ)
KvD‡K c_ GwM‡q w`‡Z
bv cv‡ib, Zv‡K ïay
c_ Pjvi Av‡jvUzKz
†`Lvb| †m GKvB Zvi
c_Uv wP‡b †b‡ePresented By Mahmud
Presented By Mahmud
Avgiv hv wKQy ïwb Zv fy‡j hvB,Avgiv hv wKQy
†`wL Zv g‡b _v‡K, Avi Avgiv hv wKQy Kwi Zv wk‡L wbB|
Presented By Mahmud
myZivs †ewk †ewk Abykxj‡bi weKí wKQz
†bB|
me mgq †n‡i hvq ZvivB hviv nvj †Q‡o †`qPresented By Mahmud
wR‡Z hvq ZvivB hviv †Q‡o †`q ïay Rqm~PK †iLvUv cvi nevi ci
Presented By Mahmud
eccos1sin.1
sec1cos.2
cot1tan.3
tan1cot.4
cos1sec.5
sin1cos.6 ec
cossintan.7
sincoscot.8
1cossin.9 22
22 cos1sin
22 sin1cos
1tansec.10 22
22 tan1sec
1sectan 22
1cotcos.11 22 ec
22 cot1cos ec1coscot 22 ec
wÎKvYwgwZK m~Îvejx :-A
AAAsin1sin1)sec(tan 2
2| cÖgvY Ki †h,cÖgvY t
evgc¶ = 2)sec(tan AA
=2
cos1
cossin
AAA
=2
cos1sin
AA
=2
2cos)sin1(
AA
= AA2
2
sin1)sin1(
= )sin1()sin1(AA
= AA
sin1sin1
= Wvbc¶
)sin1()sin1(AA
2
22
ba
ba
Presented By Mahmud
(cÖgvwYZ)
Presented By Mahmud
Presented By Mahmud
1 x 1 = 1> 11 x 11 = 121> 111 x 111 = 12321> 1111 x 1111 = 1234321> 11111 x 11111 = 123454321> 111111 x 111111 = 12345654321> 1111111 x 1111111 = 1234567654321> 11111111 x 11111111 = 123456787654321> 111111111 x 111111111=12345678987654321
Presented By Mahmud
> 1 x 8 + 1 = 9> 12 x 8 + 2 = 98> 123 x 8 + 3 = 987> 1234 x 8 + 4 = 9876> 12345 x 8 + 5 = 98765> 123456 x 8 + 6 = 987654> 1234567 x 8 + 7 = 9876543> 12345678 x 8 + 8 = 98765432> 123456789 x 8 + 9 = 987654321
Presented By Mahmud
A B
CD
FE
26 h 26 h
30
30 - xxx
28
30
Presented By Mahmud
A B
CD
FE
26 h 26 h
30
30 - x xx
28
g‡b Kwi, ABCD mvgvšÍwi‡Ki AB=CD=30, AD=BC=26, ÿz`ªZg
KY© BD=28
awi, AE=BF=x Ges DE=CF=h
D I C we›`y n‡Z AB evûi Dci DE I CF j¤^ AuvwK|
myZivs, BE=AB – AE = 30 – x
Presented By Mahmud
A B
CD
FE
26 h 26 h
30
30 - x xx
28
Presented By Mahmud
A B
CD
FE
26 h 26 h
30
xx
28
30 + x
hv‡`i hyw³i †Rvi Kg ZvivB ‡Rvi K‡i †evSv‡Z Pvq †mB mwVK| wKš‘ Ae‡k‡l hyw³B Rqx nq|
Presented By Mahmud
Presented By Mahmud
Presented By Mahmud