i am actually quite impressed by the energy u give to students in ur very video...the way u teach is amazing the way u make us all get interacted with u in a light mood is just fantastic and i love ur special totkas that u give u for an ease ...u r an excellent teacherr ...may u get so muchh success
Assalam o alaikum sir need to ask one thing sir graph main x aur y axis main agar ham ne 10 small boxes liye hain toh is k scale ye hoga 👇 X-axis : 10 small boxes=10 units is scale along x-axis . Y-axis : 10 small boxes = 10 units is scale along y-axis sir is it correct ...?
shukar alhumdullilah im shock kay video agyi itni dair sAY intazar kar rhi thi kay kab aye gi pwchli video par dobara commentt kia peeclay book kay sawal bhi kar liay that aglay sawal ki tensio thi thanks sir
Ab yaha py straight line aor cos x ka graph hai Straight lines ki values k liye ap jb pi ki 3.14 value rakhy gy tau angles k according y ki value ajyegi iss liye hm ny cos x ki b values radians mai h li hain
Is mai hm pi ki value ly gy yani 3.14 ku k straight line bnani hai tau y=x Y= sinx Ab kry gy ye k pi/6 se h start hoga mgr an 3.14 ko.6 se divide kry gy jb y=x ka graph bnana hai Aor jb y=sinx ya cosx ka bnana tb angle lay gy
sir hmein kese pata chale ga keh hamein x ki value mein kitna gap dena kabhi ap 30 ka dete kabhi ap 60 ka dete kabhi ap vale 180 tak likhte kabhi 360 ka yeh bohat confusing hai im not gettin it plz help
Daikhy dear sin cos mai 30 ka gap day day aor tan ku k 90 py infinity houta hai iss se 15 15 ka gap day day confuse naw ho ye ap ki apni mrzi hai jitny ka gap daina ho day dy radian mai laina angle radian mai ly ly degree mai laina degree mai lay ly no issue lekin gap kitna rakhna hai wo aap khud decide krty hain thora gap rakhny se graph zarra accurate bnta hai bs
Sir...in qno.5) part( vii ) why we take range = [ 0,1 ].....[1,-1]nhi ho gye kya....? or Period m pie kiun lya hy...? cos k period two pie hota hy... reply kr dyn....confusion hy
The range of \( \cos^2(x) \) is between 0 and 1, inclusive. This is because \( \cos^2(x) \) represents the square of the cosine function, and the cosine function itself varies between -1 and 1. Squaring any real number between -1 and 1 results in a non-negative number, and thus the range of \( \cos^2(x) \) is [0, 1].
@@hamzakhilji-yt290 mainy is ka graph khali jo x axis k upr bn raha wo bnaya ap agr 360 tak bnaty hain tau pori sinosidal wave bn jyegi but ye b ok hai wo b ok hai Actually SLO based papaer hai tau ye sheet py pora ajayega in sha ALLAH warna 0 se 360 is also totally fine Thanks for your remarks dear❤
Sir apne 5question ke (vii) part ma cos(square)x kese kia ha....i mean ap ne (cosx) ka whole square lia ha ya x ka square le ke us ka cos le lia ha....ma ne sab tareeqo se check kia ha but mere answers wo nahi arahe jo aapke aye hai
@@aroobamarjan1267 cos x ki value nikal.k jo answer aya hai us ka square ku k (cosx)^2=cos^2x Jaisy cos 30 ka answer ata hai 0.866 jb is ka sqaure ly gy tau ayega 0.739 jo k almost 0.75 bnta hai is trah baqi values b daikh ly Jizak ALLAH for your response Stay blessed
sir its very important please answer jaldi kijiyega sir in question 9 part ii and iii the values of x do we have to memorize it kyu k samajh nahi arahi k ya kasia put ki hai apna sir pata nahi kaha sa x ki values ayi ha
Pi ki value put ki hai Ab jaisy pi/6 hai tau x axis py angle aye ga aor y axis py phir 3.14156/6 se ayega Aisy h pi/6 pi/3 or baqi values li gai hain straight line k graph ko draw krny k liye Phir b naw smjh aye tau phoch lijyega Jizak ALLAH for your response
Bilkul bna skty hain lkin itni values se straight line bn jati hai actually we have to see wheter it cuts the graph of sin cos or tan or not Ap values zada b lay skty hain
Good question dear. Now listen for cosx sinx sec x cosec x when we take square period becomes half. Lekin tan or cot k case m same rahy ga. Keep it in mind agr power even tau half hoga sin cosec sec and cos Odd ho tau ni hoga Or tan or cot m odd ho even ho koi frk ni pry ga remains same
g dear first of all hm ny 30 60 90 120 in angles ko lia sin k sth un ki values li then jo b value ai us ko 2 se multiply kia ab xaxis py m ny radians m angles liye or y axis py un ki values 2 sin thetha ki or join krwa dia
Tan 2x ki jb ap value nikaaly gy jo b ayegi us ko 2 se multiply krty jye Ab agr tan 2x ki value 0 ai hai tau 2 tan 2x ki b wahi hogi Or agr ai hai 1.732 tau 2 tan2x ki 2.732 ho jyegi Or infinity ki infinity h rahy ge
@@aymanalvi3006 ok dear jizak ALLAH for your response in sha ALLAH is video mai aap thora volume enhance kr ly next mai in sha ALLAH set ho jyega ye issue Stay blessed nd motivated
Daikhy cosx ki waisy range houti hai -1 to 1 but yaha squarr hai tau only 0 to 1 Phir is ka period agr power even hai tau half reh jata Jaisy 2pi ka half Phir is ki domian wahi rahy ge real number
@@Xynotic-1 mainy intervel chota bnaya hai agr aap interval bara kry gy yani 0 se 360 tak tau pora aik wave bn jye ga mainy smjhany k liye just adha wave bnaya hai aor wo graph ka uper wala hissa bilkul thk hai ap interval thora lmba kar ly tau pora bn jyega Thankeou for your comment dear❤
![[[Year One 問數]]Advance Maths Q20241208|| MATH1520A(2024)|| q9|| Limit|| L'Hospital's Rule|| MVT](http://i.ytimg.com/vi/ADSEsQqgXI4/mqdefault.jpg)
love the way you teach amazing teacher
Jizak ALLAH!
Wowww sir. I was so difficult for me before taking this lecture. But now it's so easy 😊
Stay blessed dear and keep shining
ohhhhhh A 🥰🥰 big thanks to you🤲🤲🤲 Allah apko bhut kaiyab kare Ameen💝💝💝
Stay Blessed
Geo❤
Stay blessed dear
Picture quality and sound quality is too good 👍👍👍👍❤❤❤❤
😄😄😄
😮😮😮
Sir keep uploading ❤❤
i am actually quite impressed by the energy u give to students in ur very video...the way u teach is amazing the way u make us all get interacted with u in a light mood is just fantastic and i love ur special totkas that u give u for an ease ...u r an excellent teacherr ...may u get so muchh success
Dear your support and appreciation will give me more energy to perform even better.
Jizak ALLAH for your response.
Keep shining and stay blessed🥇
Thank you sooo much sir😊
@@Itx-emasheikh stay Blessed
Assalam o alaikum
sir need to ask one thing
sir graph main x aur y axis main agar ham ne 10 small boxes liye hain toh is k scale ye hoga 👇
X-axis : 10 small boxes=10 units is scale along x-axis .
Y-axis : 10 small boxes = 10 units is scale along y-axis
sir is it correct ...?
G dear aaap.koi b value ly skty hain aor meray khyal mai is ko.phly pencil se draw kijyega phir pen se
@ETSAPREP ok ✨Jazakallah sir
sir aik baat confirm kr dain k jitne boxes ham letay hain utne hi units hotay hain na ?
@TajweedMadeEasy2M 10 smal boxes ko ap ny apny according scale krna h
@@ETSAPREP ok Jazakallah sir 👍🏻
shukar alhumdullilah im shock kay video agyi itni dair sAY intazar kar rhi thi kay kab aye gi pwchli video par dobara commentt kia peeclay book kay sawal bhi kar liay that aglay sawal ki tensio thi thanks sir
Review b arai h IA
Thanks❤ dear teacher
thank you much sir 🥰
58:00 Explain again why we take x values in radian in graph
Ab yaha py straight line aor cos x ka graph hai
Straight lines ki values k liye ap jb pi ki 3.14 value rakhy gy tau angles k according y ki value ajyegi iss liye hm ny cos x ki b values radians mai h li hain
Ty sir❤
sir q9 mein part 2 ,3,4 mein y ki value kaisay ai ?
Is mai hm pi ki value ly gy yani 3.14 ku k straight line bnani hai tau y=x
Y= sinx
Ab kry gy ye k pi/6 se h start hoga mgr an 3.14 ko.6 se divide kry gy jb y=x ka graph bnana hai
Aor jb y=sinx ya cosx ka bnana tb angle lay gy
sir hmein kese pata chale ga keh hamein x ki value mein kitna gap dena kabhi ap 30 ka dete kabhi ap 60 ka dete kabhi ap vale 180 tak likhte kabhi 360 ka yeh bohat confusing hai im not gettin it plz help
Daikhy dear sin cos mai 30 ka gap day day aor tan ku k 90 py infinity houta hai iss se 15 15 ka gap day day confuse naw ho ye ap ki apni mrzi hai jitny ka gap daina ho day dy radian mai laina angle radian mai ly ly degree mai laina degree mai lay ly no issue lekin gap kitna rakhna hai wo aap khud decide krty hain thora gap rakhny se graph zarra accurate bnta hai bs
Sir...in qno.5) part( vii ) why we take range = [ 0,1 ].....[1,-1]nhi ho gye kya....? or Period m pie kiun lya hy...? cos k period two pie hota hy...
reply kr dyn....confusion hy
@@CodeZone-q6k time line share kry dear i explain to you
@@ETSAPREP25:44
The range of \( \cos^2(x) \) is between 0 and 1, inclusive. This is because \( \cos^2(x) \) represents the square of the cosine function, and the cosine function itself varies between -1 and 1. Squaring any real number between -1 and 1 results in a non-negative number, and thus the range of \( \cos^2(x) \) is [0, 1].
@@ghulamfareed2889 Ok Thanku....
@@CodeZone-q6k welcome
Q#5 past (i) the answer graph drawn in book is different from what you have drawn, i made the table from -180 to 180 with interval of 30.
@@hamzakhilji-yt290 let me check dear i respond you
@@ETSAPREP my main question is that hum saray graphs agar -180 to 180 with 30 interval bana lein toh its totally fine right?
@@hamzakhilji-yt290 bilkul ap ny interval h btana h or graph ka behavoiur k kaisa graph bn raha
@@hamzakhilji-yt290 mainy is ka graph khali jo x axis k upr bn raha wo bnaya ap agr 360 tak bnaty hain tau pori sinosidal wave bn jyegi but ye b ok hai wo b ok hai
Actually SLO based papaer hai tau ye sheet py pora ajayega in sha ALLAH warna 0 se 360 is also totally fine
Thanks for your remarks dear❤
Sir apne 5question ke (vii) part ma cos(square)x kese kia ha....i mean ap ne (cosx) ka whole square lia ha ya x ka square le ke us ka cos le lia ha....ma ne sab tareeqo se check kia ha but mere answers wo nahi arahe jo aapke aye hai
@@aroobamarjan1267 cos x ki value nikal.k jo answer aya hai us ka square ku k (cosx)^2=cos^2x
Jaisy cos 30 ka answer ata hai
0.866 jb is ka sqaure ly gy tau ayega 0.739 jo k almost 0.75 bnta hai is trah baqi values b daikh ly
Jizak ALLAH for your response
Stay blessed
sir its very important please answer jaldi kijiyega sir in question 9 part ii and iii the values of x do we have to memorize it kyu k samajh nahi arahi k ya kasia put ki hai apna
sir pata nahi kaha sa x ki values ayi ha
Let me see dear❤
Pi ki value put ki hai
Ab jaisy pi/6 hai tau x axis py angle aye ga aor y axis py phir 3.14156/6 se ayega
Aisy h pi/6 pi/3 or baqi values li gai hain straight line k graph ko draw krny k liye
Phir b naw smjh aye tau phoch lijyega
Jizak ALLAH for your response
@@aymanalvi3006 pi /6,pi/3 pi/2 isi sequence m phli phli values ly li h
❤❤
Sir g agar board mein x component kay upar banana hua toh kesay banay gay ek video is per bhi please 🥲
g sure dear
1:01:09 Sir....In this question 9 part ii) y=x m ap n pie/3 tk hi graph plot kiun kya hy....? pie/2 or 2pie/3 ko kiun plot nhi kya.....???
Bilkul bna skty hain lkin itni values se straight line bn jati hai actually we have to see wheter it cuts the graph of sin cos or tan or not
Ap values zada b lay skty hain
@ETSAPREP ok.....
Question 5 mai part 7 mai period sirf pie kaise? Cos ka to 2pie hota hai na explain please square waley questions mai hamney pie kiun liya
Good question dear.
Now listen for cosx sinx sec x cosec x when we take square period becomes half.
Lekin tan or cot k case m same rahy ga.
Keep it in mind agr power even tau half hoga sin cosec sec and cos
Odd ho tau ni hoga
Or tan or cot m odd ho even ho koi frk ni pry ga remains same
Sir please explain question 1 table again😢 3:50
g dear first of all hm ny 30 60 90 120 in angles ko lia sin k sth un ki values li then jo b value ai us ko 2 se multiply kia ab xaxis py m ny radians m angles liye or y axis py un ki values 2 sin thetha ki or join krwa dia
Sir g i want to meet from you because you are the best teacher in whole world stay blessed and safe❤❤
Sir g apnay jo part 2 mein 540° tak values jo li hain likhna zaroori hain 540° tak 6:12
apni asani k liye values aik h br ly ly hr graph m wahi ly ly asani houti hj warnaapni mrzi h
Sir g 2tan2x ki row mein apkay same kesay arahain hain i am doing my calculator is giving different ans 28:37
Tan 2x ki jb ap value nikaaly gy jo b ayegi us ko 2 se multiply krty jye
Ab agr tan 2x ki value 0 ai hai tau 2 tan 2x ki b wahi hogi
Or agr ai hai 1.732 tau 2 tan2x ki 2.732 ho jyegi
Or infinity ki infinity h rahy ge
@@ETSAPREP sir abhi bhi nai samajh ayi
Yar matlb jo tan2x ki value nikle ha osko 2 sy multiple kardo simple@SheikhAbdullah-ps4ul
@SheikhAbdullah-ps4ul phly nikaly 2x then tan 2x then 2 se multiply
Sir g amplitude 180 kesay 1:09:06
Jo max voltage hai max value h amplitude houtu naw dear
One doubt sir g yeh cos^2x ki values kesay ayi hain graph mein please samajh dey 23:05
cos x ki value ka answer ly k us ka square ly lay
kindly speak loud sir you are barely audible
@@aymanalvi3006 ok dear jizak ALLAH for your response in sha ALLAH is video mai aap thora volume enhance kr ly next mai in sha ALLAH set ho jyega ye issue
Stay blessed nd motivated
10:58 Sir g humnay radian mein graph mein ku plot kar rahay hain baki 2 mein tu radian mein liay thay
degree m kr ly radian m kr ly no issue
Q8 kidr gya?
@@KhawajaEitzaz 7 ka 2nd part h 8 hai
25:55 sir yhn range aur period ksy find kyey?
Sir can u please again tell me 27:43 .. Humain ksy pta chla k 90 aur 270 p undefined hou ga
Daikhy cosx ki waisy range houti hai -1 to 1 but yaha squarr hai tau only 0 to 1
Phir is ka period agr power even hai tau half reh jata
Jaisy 2pi ka half
Phir is ki domian wahi rahy ge real number
@@MuhammadYounisKhan-l4oku k tan 2x hai tau
90 aor 270 py cos 0 huta or tanx=sinx/cosx so yaha undefined hoga
How you solve Y=X in q9 part 2
Put x=pi/6 =0.52
Then pi/3=1.045
In this way straight line graph will be drawn
Sir ap bhot direct karata samaj ni atii
Btao bchy kia smjh ni aya
Sir why are the answers different in the book?
kis ka answer change araha hai mai check b kr laita hun ap share kry plz
@@ETSAPREP q5 part 1
@@Xynotic-1 different nai hai
@@Xynotic-1 mainy intervel chota bnaya hai agr aap interval bara kry gy yani 0 se 360 tak tau pora aik wave bn jye ga mainy smjhany k liye just adha wave bnaya hai aor wo graph ka uper wala hissa bilkul thk hai ap interval thora lmba kar ly tau pora bn jyega
Thankeou for your comment dear❤
Ok sir thank u so much
sir your scaling on y-axis is pathetic look at the gap from o to 0.5 nd 0.5 to 1
I hv done manually to give idea of graph.
Nd obviusly your precious suggestions are worthy to make it improved next time❤
Thankeou Dear Allah bless you