हम लोगों ने बचपन में लोनी की त्रिकोणमिति की पुस्तक हिन्दी में पढ़ी थी ।उसमें त्रिकोणमितीय अनुपातों का नाम भी हिन्दी में थै । Sin = ज्या Cosine/cos = कोज्या tan = स्प cot = कोस्प sec = छे cosec = कोछे 1950 - 60 में लोनी की पुस्तक का राज । उसी प्रकार जैसे बीजगणित में कालीपद बसु ( K P Basu ) , अंकगणित/पाटीगणित में चक्रवर्ती , ज्यामिति/रेखागणित में हाल-स्टीवेन्स ।
first thought after seeing que in my mind is take x=tan a y=tanb z=tanc now this problrm is just of idnetity i solved similar que of olymipaid taught by my sir
not a tragedy but a commendment. he has a sizable but slightly small fanbase but each of those 200k fans are ones who religiously follow his videos, unlike a million subscribers out of which only a handful follow their respective channels
This question is there in my notes which in 11th I felt was a really tough thing to identify just by looking at the question and was fascinated after I saw the solution 😲
Sir trigonometry ki nazro mai bahut accha lag raha hai qns , thank you sir for boosting concepts for students who do not know their actual potential 😊😊.
Sir in 1st attempt I got the idea, cause just before this I have watched your trigonometry sutra jee 2024 ..... Cause of you I fell in love with maths ❤
I did it in my 2nd attempt The identity was taught by my teacher so i instantly took the values ❤ Thanks for introducing new question sir I will add it in my notes
I've thought of trying to do this question by algebra , consider x,y,z as roots of cubic equation of a quadratic equation whose x^2 coefficient , constant is same ..then apply transformations for new roots... check the new equations coefficient ...but stilll not solved ...
Yes sir ese bhot se q trigo ke milte h kha pr vo algebra mix krte h or hum confuse ki ky kre .. ese q muje sikhaye h kitni creatively socha ja skta h maths m Koi ek tarika nhi h q ki approach krne ka Btw , phle Aman sir n is function ki pura nhi iska ek expression ki range nikalvai thi tan 3a k formula s❤
it wouldn't be a proof if you put in a set of values. you have to prove its true for whatever value of x,y,z such that it follows those sets of conditions
When I saw the tag sl loney plane trigonometry just at the start of the video I got the hint tan 3theta was the only way Otherwise the pattern also seemed like that It's not so difficult actually
Max value of cos(πx) = 1 and min. value of y^2 is 0 ( we don't consider complex no. in such ques). So only solution is cos(πx) = 1 y=0 As if we take any smaller value than 1 for cos, and larger value than 0 for y^2, total can't be equal to 1. So finally: y=0 x= 2n, where n belongs to integers
Sir ye question kya me iss tarah se solve kar sakta hu x+y+z=xyz Agar ham Man le ki x,y,z integer number hai To yaha par ek hi possibility hai 1+2+3=1×2×3 x+y+z=xyz Compare karne per ham dekh sakte hain ki Yaha x=1,y=2,z=3 (3x-x³)/(1-3x²)+(3y-y³)/(1-3y²)+(3z-z³)/(1-3z²)=(3x-x³)/(1-3x²)×(3y-y³)/(1-3y²)×(3z-z³)/(1-3z²) Agar ham iss equation mein x y z ki value put kar de to milega (-1)+(2/11)+(9/13)=(-1)×(2/11)×(9/13) (-18/143)=(-18/143) Prove Simply solve
When I saw the tag sl loney plane trigonometry just at the start of the video I got the hint tan 3theta was the only way Otherwise the pattern also seemed like that It's not so difficult actually
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हम लोगों ने बचपन में लोनी की त्रिकोणमिति की पुस्तक हिन्दी में पढ़ी थी ।उसमें त्रिकोणमितीय अनुपातों का नाम भी हिन्दी में थै ।
Sin = ज्या
Cosine/cos = कोज्या
tan = स्प
cot = कोस्प
sec = छे
cosec = कोछे
1950 - 60 में लोनी की पुस्तक का राज । उसी प्रकार जैसे
बीजगणित में कालीपद बसु ( K P Basu ) ,
अंकगणित/पाटीगणित में चक्रवर्ती ,
ज्यामिति/रेखागणित में हाल-स्टीवेन्स ।
Beautiful
Jaisi hi nazar pari equation pr sidha tan3theta ka formula yaad aagya😂
#Jee2025
Very simple question , solved in 1 min. Dekhkar hi lagraha tha ki tan3A se hoga .
exactly lol
Sohi bola
Yeah
first thought after seeing que in my mind is take x=tan a y=tanb z=tanc now this problrm is just of idnetity i solved similar que of olymipaid taught by my sir
Sir ye question hmare Tarun Khandelwal sir ne krwaya hai❤❤❤
Kisme?
Yes bro Arjuna me hum bhi Arjuna mein haan aur dekhtei hi solve kar liya Maine ....Tarun sir jindabad ❤️❤️
@@venomgaming9223 nahi bhai tarun minati ❤ jinda bad😂
@@venomgaming9223second last lecture of trigonometry of arjuna 1.0
Ye Sachin sir ne bhi krwaya h 2.0 me
What a tragedy and irony A guy who is teaching Mathematics so superbly and so finest of all time
His subscribers are only 2 lakhs
What a tragedy
not a tragedy but a commendment. he has a sizable but slightly small fanbase but each of those 200k fans are ones who religiously follow his videos, unlike a million subscribers out of which only a handful follow their respective channels
This question is there in my notes which in 11th I felt was a really tough thing to identify just by looking at the question and was fascinated after I saw the solution 😲
The first thing that pop up in my mind as soon as I saw this was tana+tanb+tanc where a+b+c=π
This isnt hardest problem
There is miscellaneous section it has hardest questions
But this is good question also
Bro, i also use sl loney but currently only solve exercises. Should i also solve the miscellaneous section at the back?
Bhai yah question kidhar hai last mai hai kya book ka
Kya good question??? Lodu qstn tha, mai neet wala hun maine karliya 😭
@@aadityavsingh999Lagta hai tu neet Mai 720 marks layega 😂 maths ke question solve karke
@@ShauryaSingh-dw8qrit is challenging bro if u have time and interest to solve it then u can. But it’s solution are not available anywhere on internet
Sir trigonometry ki nazro mai bahut accha lag raha hai qns , thank you sir for boosting concepts for students who do not know their actual potential 😊😊.
Sir in 1st attempt I got the idea, cause just before this I have watched your trigonometry sutra jee 2024 ..... Cause of you I fell in love with maths ❤
In this book Trignometrical series Q 5 is a good one Exercise 44
Nice problem Guruji ❤❤
I did it in my 2nd attempt
The identity was taught by my teacher so i instantly took the values ❤
Thanks for introducing new question sir
I will add it in my notes
bhaut easy hai bhai uestion dekh kar hi lag raha hai ki tan wali identity lagegi
Bohot easy sawaal....
Very good question, a prime example that how important observation is in maths. Solved it in my head within 30-40 seconds.
Sir it is quite easy done in 1st attempt if we know some special results like tanA+tanB+tanC=tanA*tanB*tanC when A+B+C=nπ
Ya but if this appears in exam then it is quite hard to think this substitution x = tanA.... 😅
sir ji you are BIGBRAIN
Sir Please Integration ki or dedicated Playlist banao please Sir.....................................................💕
This is not the hardest, it's easy
I've thought of trying to do this question by algebra , consider x,y,z as roots of cubic equation of a quadratic equation whose x^2 coefficient , constant is same ..then apply transformations for new roots... check the new equations coefficient ...but stilll not solved ...
Sir maine yeh question sn loney solve krte waqt 11th class me hi kiya tha
And solved it in single attempt 😊😊😊😊😊
Find the range of y = 14 Sin²x + 9 cosec²x
Sir app mahan hoon😊
Sir aapne toh ekdum makkhan ki tarah solve kr diya hardest problem ko
The only teacher in India who shows maths hard😂😂😂😂😂
Matlab 🙄
I solved it in literally 3 sec as this is very known property of Tan in triangle
Sir plz dono approach btaya kariye
Easy question sir, pls bring some problems of complex number
1st Sir ❤
Looks easy when differentiate num. Then int. 3.dx,3.dy,3.dz got 3(x+y+z) n from given data 3xyz n getting 3xyz from RHS.
Sir may you also show us the algebraic approach. I just want to see the other approach.
It was also teach by our teacher also
Yes sir ese bhot se q trigo ke milte h kha pr vo algebra mix krte h or hum confuse ki ky kre .. ese q muje sikhaye h kitni creatively socha ja skta h maths m
Koi ek tarika nhi h q ki approach krne ka
Btw , phle Aman sir n is function ki pura nhi iska ek expression ki range nikalvai thi tan 3a k formula s❤
x + y + z = xyz dekhte hi yaad aa gya conditional identity formula aur range dekhe aur sure ho gya
Sir mujhse ho gya tha yeh question
Sir me class 10th me hu mene sl loney part 1 khtam hone wali hai kya mujhe sl loney part 2 karni chahiye
a+b+c = N1 pi
3a + 3b + 3c = 3N1 pi
we see 3N1 as N2 hence 3a+3b+3c=N2 pi
proved.
Tarun khandelwalbsie n kraaya rha class m
amazing sir
Tarun khendwal sir already told us
Sir, sl loney new edition is preferable or the old edition ?
If x = Bhannat and y = Maths then xy = Feeling of numbers
Sir I solved it in same way❤
IT CAN BE EASILY DONE BY VALUE PUTTING (PUT X=1, Y=2 , AND Z= 3) ❤
it wouldn't be a proof if you put in a set of values. you have to prove its true for whatever value of x,y,z such that it follows those sets of conditions
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@@NITINCHAUHAN964 no
@@theseusswore YOUR CHANNEL IS SO WEIRD 😅
@@NITINCHAUHAN964 thank you
sir ek video pure mathematics me banao ish topic me jada source nhi diya hai aur pure mathematics kese par skte hai india me
Sir mujhe maths me dikkat aa rahi h
He has a video on how to improve maths go and watch it
@@Justmeuserchutiye bsdk tujhse puchha
@@Facts_dome11😂😂😂😅😅
When I saw the tag sl loney plane trigonometry just at the start of the video I got the hint tan 3theta was the only way
Otherwise the pattern also seemed like that
It's not so difficult actually
Tbh very easy question by applying tan3A
Sir pls increasing video frequency ....
Sir can't we take a,b,c to be =0
Sir algebric wala method bhi
Sir Joseph Edwards ke problems kara do please
Sir this is thier in our Allen(Digital) class notes ✌✌✌✌
Sir how to solve cos(πx) -y²=1?
Max value of cos(πx) = 1 and min. value of y^2 is 0 ( we don't consider complex no. in such ques).
So only solution is
cos(πx) = 1
y=0
As if we take any smaller value than 1 for cos, and larger value than 0 for y^2, total can't be equal to 1.
So finally: y=0
x= 2n, where n belongs to integers
Sir ye question kya me iss tarah se solve kar sakta hu
x+y+z=xyz
Agar ham Man le ki x,y,z integer number hai
To yaha par ek hi possibility hai
1+2+3=1×2×3
x+y+z=xyz
Compare karne per ham dekh sakte hain ki
Yaha
x=1,y=2,z=3
(3x-x³)/(1-3x²)+(3y-y³)/(1-3y²)+(3z-z³)/(1-3z²)=(3x-x³)/(1-3x²)×(3y-y³)/(1-3y²)×(3z-z³)/(1-3z²)
Agar ham iss equation mein x y z ki value put kar de to milega
(-1)+(2/11)+(9/13)=(-1)×(2/11)×(9/13)
(-18/143)=(-18/143)
Prove
Simply solve
💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀💀 No no no that is not a proof. you have to prove it for all real numbers, not only 1,2 and 3
This is not a pure proof...you have to proof in a generalised structure...
Hamare waqt (1985 -86), ek dhang ki kitaab sirf wahi thi.
Sir I am intrested to join your offline bath. I am From Rohtak please guide me how can I join. As I know you are also from Rohtak
This is also in Allen module do yourself 15
Then there is me : who solved the whole problem then forgot what was asked in the question
Ye meri coaching me karaya h but usme tan 2A tan 2B ..
Ka use hua tha
Sir I have done this
Sir please provide video solution for my doubtFind the range of y = 14 Sin²x + 9 cosec²x
Use AM>=GM
You will get [ 6(14)^½ ,infinity]
@@studymaster7388pls provide full solution
Who want sir's KOTA LECTURES on TH-cam for free
👇
Ye mere coaching me karaya gaya hai
Easy question
this question is given in allen module
Equation dekh kar hi lag gaya ye tan(3x) ka expansion hai..😅😅
Kis kis ko question dekh ka tan3thteta ka formula dekhna gaya 😂
easiest sum
Tarun khandelwal ❤✨⚡
Tarun ___________ ( surname you can choose )
Please take my name sir in video iam your very big fan
Ye maine 11th me bnai thi
To be Honest this question is also in Allen maths question bank in trogonometry
Sachin jakhar sir ne karwaya hai bohut easy problem 😅
1st comment and view
Chemistry electron configuration jaisa hai a question 😂😊
♥️♥️😭♥️♥️💯♥️♥️♥️♥️
Aaj Mera bhi comment viral hoga😂
Aaj tu bhi marega
Ye question to meri school book me h
Ye sunny Leone K bhai to nhi, naam to same sa hai
Maine bhi yhi padha tha 😂😂😂😂
Tan3x ka form
Tan 3x ka result dikhra😅
Arjuna 2.0 me sachin sir ne kraya hain 😀
Cengage......
Idk why Did I read Sunny leone in the thumbnail 🥲
😂
Because you are not jee asprint
Bhai ye content hai ? 😂
X y z tanx
First comment please pin me
Faltu que
When I saw the tag sl loney plane trigonometry just at the start of the video I got the hint tan 3theta was the only way
Otherwise the pattern also seemed like that
It's not so difficult actually
Find the range of y = 14 Sin²x + 9 cosec²x