Inverse Trigonometric Functions | Class 12th | Full Chapter/Questions/Solutions/Exercise 2.1/2.2
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- Опубликовано: 18 окт 2024
- Welcome to our comprehensive guide on Inverse Trigonometric Functions for Class 12th students! 📚
In this educational video, we dive deep into the world of inverse trigonometric functions, specifically focusing on Chapter 2.1 and 2.2, complete with a wide range of questions, solutions, and a detailed walkthrough of Exercise 2.1 and 2.2. Whether you're a student preparing for your board exams, a teacher looking for classroom resources, or just someone with a passion for mathematics, this video has something for everyone.
Here's what you can expect:
🔷 In-depth explanations of inverse trigonometric functions.
🔷 Step-by-step solutions to various problems related to Exercises 2.1 and 2.2.
🔷 Tips and tricks to tackle complex questions.
🔷 Real-world examples to help you understand the practical applications of inverse trigonometric functions.
No matter where you are in your learning journey, this video is designed to help you build a strong foundation in this crucial topic. We'll make sure you grasp the concepts and gain the confidence you need to excel in your exams.
Make sure to like, share, and subscribe to our channel for more Class 12th math content and other educational resources. If you have any questions or need further clarification on any of the topics covered, feel free to leave a comment, and we'll be happy to assist you.
Let's master inverse trigonometric functions together! 📐📏📊
Sir it's a request baki chapter bhe laiye sare 1.continuity and differentiability ,2. Application of derivatives 3.intrigals, 4.application to intrigals ,5. Differential equations 6. Vector algebra 7. Three D dimensional geometry 8. Linear programming 9. probability plzzzz🙏🙏🙏🙏🙏 jaldi karva do sir exam ane wale ha board ke 11 days bache ha 😭😭💀☠️😢😩😰😱😱😐😨😰😢 lol 🤦♀️ aoor syllabus complete nahi hua ha ..........................
Ha sir ye sab chapter Karwa dijiyega.
Bahut jaruri hai plz🙏🙏
Hlo friend
Yes sir plz kara do jaldi 🙏🙏
Yes sir
Yes sir
Sir please make a one-shot or part wise video on Differentiation and Integration...even if it is 3-4 hours no problem.
Also on probability
Bhai ye lesson ki pdf kaha hai?
Yes
00:02 Learning Inverse Trigonometry Functions
02:09 Understanding inverse trigonometry functions
06:41 Understanding trigonometric functions and angles
09:04 Understanding trigonometry functions and principal values in radian measure
13:25 Understanding open intervals and principal values in mathematical equations.
15:39 Explaining the process of finding the value of sin-1 - 1/2.
19:41 Understanding trigonometry functions and inverse functions
21:27 Understanding angle values from 1 degree to 180 degrees.
24:51 Trigonometry table can help simplify calculations.
26:49 Understanding sign and angle ranges for trigonometric functions.
30:19 Remember important values from 10th class table
32:10 Proving sin-1 x = sin-1 3x
36:12 Proving the concept using Hades Proof in four steps.
38:04 Explaining the calculation process involving angles and trigonometric functions.
42:06 Understanding the cos2 theta formula
44:03 Memorizing sin2 theta formula is key
47:35 Explaining trigonometric functions and formulas
50:31 Canceling out cuts to save the forest
54:19 Utilizing tables to create formulas for mathematical calculations.
56:04 Solving for x in trigonometric equations
59:50 Cancel out cubes to simplify the expression
1:01:55 Understanding the process of inverting and calculating tan-1
1:05:57 Different ways to write cos2 Theta formula.
1:07:49 Understanding and utilizing mathematical formulas in problem-solving.
1:11:54 Explaining the concepts of Pythagorean Theorem and perpendicularity in triangles
1:13:47 Simplifying and understanding mathematical formulas
1:17:50 Explore the concept of angles and principles in trigonometry
1:19:39 Understanding the range of values for coat in degrees
1:23:15 Learning process and understanding principal values
1:25:24 Encouragement to subscribe and stay connected
Salute for u great work
😮😮😮
Salute brother 🙌🗿
Concept is power, but what if it is wrong concept?
Look at 2:40
arcsin(x)≠1/sin(x)
Brother me whi dekh rha tha
Andh bhakto ku yahan bhi line lgi hui h
Han yar
Shi bat h
Is bro true sir ne tagde level ki math nhi padhi sir sirf 10th Wale tak hi sahi hai jo 10th jisme galat padhate hai
Good 👍👍
Sir Sir Sir Plzzzz Plzzzzzz.... Class 12th All Chapters ke bhi laaoooo sirr.... Me 10th m bhi aapki vjh se hi acche scores laayi thi..... 😭😭Aur abhi sirf boards exams me 2months bache hai.. apka bht acche se smj aata hai plzzzz sirr plzzz 😭😭❤❤🙏🏻🙏🏻
1.Relations nd Functions
2.Inverse trigonometric functions
3.Matrices
4.Determinants
5.Continuity and Differentiability
6.Applications Of Derivatives
7.Integrals
8.Applications of Integrals
9.Differential Equations
10.Vector Algebra
11.Three Dimensional Geometry
12.Linear Programming
13.Probability
😭🙏🏻😭🙏🏻😭🙏🏻
Pleaseeeeeee
06Feb se exams hai
hmm
Hi ritika I am saurabh I am now in class 12 my exams are in 2025 so please help me I am your junior 😢 please provide me your notes plz😢
@@apanagaming8349 kya yrr math ke notes chahiye??
Sirf formulae yaad kro aur questions kro bss
Ab bas bhi Karo ki Pura question bhi comment me likh dogi😂😂
Bye the way Kitana percentage aaya?
Vote for 12th class 2025 all maths chapter ❤❤
VOTE FOR "RELATION AND FUNCTION" CHAPTER
❤❤
Of course 👍
Yes sir plz
Yes sir bohot jarurat hai...
I understand this lesson but relation and function Revis please
sir you are very humble and so kind ......plzz sir upload more chapters coz our exams are toooooooo..... much near ....plz sir ....or you may start a marathon also sir please its a humble request
कौन-कौन चाहता है कि Dear Sir 12th Class को Maths पढ़ाए❤❤❤
Kon kon chahta hai ki sir class 12 ki maths ki shari video baana de attendance here.....😊
Me
Ham❤❤
Please
Please 🥺
Plz
Sir I'm very happy to see you with us once again . Qki 10th tk apse padha fir 11th class ki videos aapne nhi bnai thi to lga ki dear sir ka sath yhi tk tha pr ab mei dropper hu aur aapne 12 th syllabus krana suru kr dia hai. Or ye dekh kr me bohot khush hu
Sir, I believe - you made some mistakes:
At 2:40 :- sin⁻¹θ is not equal to 1/sinθ. In trigonometry, sin⁻¹θ means something different from what you are saying.
At 11:25 and 11:42 :- [-1,1], Here "-1" is not the domain and "1" is not the range. Generally, this is the interval of the range, and [-π/2,π/2] is the interval of the domain for the sine function.
And...
yes u're right
Starting hi galat
You are right
And....
lmao what do u expect from someone who teaches so many subjects together
Ya ya ya
Sir, I was waiting for a long-long time for your video .. thank you so much sir 🙏🙏 sir plz baki chapters ke bhi videos le aaiye jaldi .. we all can't find teacher better than you 🥰
If agreed like karo..👍
Exam is near
Nothing is clear
No need to fear
When *Dear sir* is here
Øoohooo
Arey dear sir is here sirf ek hi chapter ke liye 😢saari videos kha banaye hai yrr toh fear toh lagega hi
Padhle bhai
Tumhare liye fear nhi hoga pr humare liye to h na sir ne sirf ek chapter krwaya h use krke pass ho jayega
@@singleboy1018bhai 3 number ka chapter hai 😂
Preparing for improvement maths 2024-2025 who else comment me😢😢😢
bhai mai bhi
Thank you so much sir.....
Itni saari you tube m videos dekhny pr kuch smjh ni aaya..
But jesa hi aapki video dekhi..🫠
Mujhy mera solution mil gyaaa...
Thank you so much sir 🫠❤️🤭
Sir thank you so much for thinking about us too ❤and I have a humble request to you that please complete this 12th class maths series 🙏🙏
1:02:25
taking x=atan(theta) is wrong as the answer would come in sin
we have to assume x=asin(theta) to get the correct answer.
Sir please make videos of other chapters like this such as Continuity and Differentiability, Application of derivatives, integrals and differential equation. Please make video as soon as possible
Yes sir pls karwa dijiye
Yes sir
🎉yes sir.......❤❤❤
wrong concept at starting, sir exact line was " sinx ko ulta kar do which is 1/(sinx) this is inverse of sinx " and mene ye concept galat hote hue dekha hai ek question ke solution mein as it says :- 1/sinx ka range to -inf to +inf hai but sin.¯¹ x ka range to [-pi/2 , pi/2] hota hai
1/sin x is literally cosec x so yes wrong concept
so can it be x/sin ?
Mai bhi yhi comment karne aayi thi...
he is best yrr abhi tak kuch nhi padha tha 4 din main 2 chapter vo bhi 1-2 hours only in one day or pura school ka kam bhi complete ✅✅
Sir aapne Dil kish kr diya aaka video aagya 12th maths walo ke liye thank you sir so much 🎉🥹💖
❤
It's wrong that 1/sinx=sin-1x.because the concept is that sin-1x is the swapping of domain and range of sinx
Chalo kisi ko toh samajh aaya😢
Exactly
Mtlb kuch bhi padha rahe
Hm ya explanation sir glat batya hai book mai aaisa krna wrong lekha hai
Ha galat hai
It's wrong
Thank you sir ji bohot hi accha laga lecture dekh kr or mai inverse trigonometric functions accha se Sikh v liya Tq sir ❤️❤️
Sir you are my one of the favourite teacher ❤️ mujhe jb v koi new chapter padhna hota ha Mai sbse phale apke video dekhne aati ho becoz mujhe apke har lecture samjh aate h sir u just make a hard chapter very easyyy for us ❤️
Yeah right 👍❤
Sir, sin-¹x cannot equals to 1/sinx 😊
Yes bro
Yea
Kuchh bhi chal raha hai 😂
@@abhishekrai01 he is right and here on dear sir channel only for boards preparation not competative
Ha lekin samjhane ke liye sahi
Excellent lecture sir 🔥💥
All concepts just under 2 hour video.।। U are great sir🙏.।। Thank you sir❤
Sir
I'm from Bangladesh. I like your class too much
Your class is better than my professors 2 hour lecture
Study mtlb
DEAR SIR 😍😍
India kab arahi ho
@@Praveenydv233 inshallah one day
Kya gazab padhate ho sir.
I salute you 😊
Thanks for this lecture sir
And pls make video on
1.continuity and differentiability
2 application of derivatives
3.integrals
4.application of integrals
Concept is nothing but power ❤
Nice sir bahut badhiya samjh me aya
Sare daout clear ho gye
Thanq sir. ❤ maja aa gya mujhe badi dikkat hoti thi ish m aapki help se confidence aa gya😮
SIR CAN YOU PLEASE COME WITH ALL THE VIDEOS FOR CLASS 12 SYLLABUS, CAUSE YOU'RE THE BEST TEACHER mujhe sirf aapka hi smjh aata h
Sir ji aap Bahut Achha padhate hai 😮😮
Kon kon chahta hai ki Calculs chapter dear sir padhaye attendance lagao❤❤❤❤❤❤❤
Sir ki yeh pheli lecture hai n ckass 12 maths k lie??
na
This man is one best teacher of world of mathematics
🎉nice sir
ruclips.net/video/qYxs_n89xKI/видео.htmlfeature=shared
Vote for calculus 😭🥹
Where is evm
36 vote done
57 vote done 👍
Sir ko nhi ati
84 vote done
Please continue this series dear sir🙏🙏🙏🙏🙏👍👍👍👍👍👍👍❤️
Thank you sir apka smjhya hua bhot aachse smjh ata h sir❤😊
Continuty and differncibility please sir
इंट्रीगेशन का sir aap hi अच्छा से समझा सकते हैं
Concept is power ❤❤❤
Bro nexa classes se padh lo
Sahi bola Bhai
Sir aap bahut achcha teaching karte ho. Sir aapko dekhkar lagta nahin hai ki aap view aur like ke liye padhaate ho aap bacchon ko ek ek concept clear karvate Ho Jo Jahan per baccha atak sakta hai.❤🙏
Sir aap 12th class ko phadhane lge thbx alot mne abhi dekha ab toh maths mee acche number pkke hai
Thanks Sir I was waiting for this for a long time 🥺🥺 Abb please Class 12 ke bhi saare Chapters Kara Dijiye 🙏🙏🙏
2:50 1/Sin(x) is not an inverse function it is cosecx, 1/sin of (x)only is an inverse function
Yess sir sacchi m bhut Miss kar rahe the ki kb lecture ayga sir apka finally ah gya, thanku so much sir 😊😊😊
Hi kya aap meri friend banogi 🤔🤔🤔
Sir we need all chapter of class 12 ❤
Thank you sir for make that much understand eval video 🤗🤗
Vote for matrices
Vote for dear sir
❤
Sir apse achha pure RUclips pr koi nahi padhata hai ap 12th maths ki full chapter playlist lekar aayie please ❤❤
Probability ❤ 1:25:12
Attendance in 2024 to 2025 batch
Bro meri manta h bhannat maths se pad bhai
Baap ban jayega maths ka
jki
CONCEPT IS POWERFUL
29:13 sir I think 12 is a better lcm
Thank u dear sir please bring calculus part also 🙏
You make everything so easy thank you sir 🙏🏼
@@ananyabhattacharjee5013 hii
Hello
Thank you so much sir 💌
Sir integration ka video chahiye 🙏🏻
Hhhhhahahahahah
Haa
1:25:04 Sir acche number lane ke liye hi toh hum classmate ko bina batae aapse padhte he 😅😅😊😅or aap khe rhe ki unske saath ye video share kro😂😂😂😢😢😂❤❤❤❤
🤡 bhai tu ladki hai kya?? Ladke log share karte hai apne dosto ke sath ki kese padhte hai vo
Thank you so much sir 🎉 bahut achhe se samjha ya ❤
Legends watching 1 day before exam 😎
Yes sir ab 12 ki tyari kara do sare chapters le aao na
Sir please give all the chapters of class 12 . It will help us to much ❤❤❤❤❤❤
Sir Continue This Series 😢 I Want Next Chapter Matrix and Determinant 🎯 🏆 Love You Sir 🫀
Bro next year milega
11th ka hun magar support kar deta hun future me Kam ayega😂
SORRY SIR BUT U ARE WRONG
1/sinx IS NOT EQUA TO sin^- x
if so
as 1/sinx = cosecx
sin^-x = cosecx ???
sin function means FOR A LINE SEGMENT OF UNIT LENGHT DRAWN WITH A SLOPE OF ANGLE THETA WITH RESPECT TO X AXIS, what is the ratio of ITS COORDINATES ON Y AXIS to ITS LENGHT i.e opp/hyp
and sin^- x means FOR WHICH ANGLE if A LINE SEGMENT is made WITH RESPECT TO X AXIS the RATIO BETWEEN ITS Y COORDINATE AND ITS LENGHT i.e opp/hyp will be x : 1
i hope this helps 😅
1/sinx = cosecx we know that
1/sinx =sin^-x (2nd equation)
Put the cosecx in 2nd eq in place of 1/sinx .... Because they are equal
So ,
Cosecx =sin^-x
@@SakshiJaiswal-se4vw sorry but it is wrong so
i updated my reply
Thank you so much sir it really helped me a lot in my term examinations
29:16 LCM 12 hona chaiye. Am I wrong??
@@qeerun6127 right bro
Sir class 12 maths all chapters karwado aapse hi ummeed hai baki sch wale teacher ka to kuch ghanta samjh nhi ata plzz sir plzzzzz🤞🏻🙏🏻🙏🏻🙏🏻
Sir, the video is really very good and the concepts hv got cleared from depth
Thanks you so much sir plzz continue this series 🙏🙏🙏🙏🙏🙏🥰🥰
Sir yaha jab AP sin(theta) ko multiply se divide me le ja rahe hai ye galat rule hai kya (please sir clear kar dijiye)🙏🙏🙏
Yes .. galat rule h
Sir it's kindly request to add pdf in description also so that student who study later can access it 😊
If your concept is not clear, please don't give wrong concept because students trust on you. How 1/ sin x can be written as sin^-1 x?
Reciprocal hota hai
Reciprocal hota hai
Jaise 1/3 ko ham 3^-1 likh sakte hai
@@youtubestereo4542 y=arcsin(x)/ sin inverse x and 1/sinx are not same
1/sinx which is cosecx its range is (-∞,-1]U[1,∞) and sin inverse range is [-π/2, π/2]
range are different
how can they be reciprocal of each other
Integration per bhi video banaiye
Love you sir ❤
2024-2025 main paper dene wale attendance here ❤
Jee ki preparation kr rahe kya Bhai
Lagta to nahi
@@ineshsingh65 hmm
@@jatinsaini1801 abhi shuru kaha Kiya hai jab shuru karenge tb lagega 💜
@@Rakes21-k9w PW se ..?
5:36
Sir, sin^-1(x) is not equal to 1/sinx
Your concept is wrong...😮
Sir class 12 maths ke sare chapter kra do plz you are best teacher of maths ❤️
Coment kro or chapter ke liye. 👇🏻👇👇🏻
Big fan sir ❤❤❤❤❤
Literally sir , I was need it 🌈❤️ thanks a lot dear sir Aadi ❤️
Bo Rainbow pls
Happy Teacher's day sir and thankyou so much,for my placement your video helped me a lot
Kiska Kiska test hai to ye video deknhe aaya hai 😂😂
@@Missrani45-z6d Minecraft❤️
@@Missrani45-z6d us behen us
❤@@shinkoveenieot7
@@Missrani45-z6d to accurate !!
@@Missrani45-z6d tumhare
30:45 Notice That Sir 's LCM Wrong ...💢 But Ans is Correct ❤
😂 hn bhai Esa hi hisaab hai
sir plz cover all chapters of 12th maths
Sir pls integrals or derivatives ka bi video bana dijiye...❤
Attendance here 2024-2025 batch students 👇
present here
mein tho 2040-2041 batch wala hu ... aaj hii peda huwa hu ....
Yah
Yes
Yes 🤚
Gjb basics se pdata h bhai 🎉🎉greastest teaching skill this guy have 🎉kam time m acche se chapter clear
Vote for the chapter 1
कौन कौन मानता है कि dear sir best teacher हैं 🙏
Oo Bhai Mera comment padh lo ,,clear ho jaoge
Thanks you soooooo much sir 🎉🎉sir mujhe ab 3chapter na mila raha hai sir bahut acha padhate please 🙏 aap ka padhane ka style amazing 😍🤗😊 hai 👌💯💯💯📚📚📚📚
Sir ji yeh 2.41 se 4 min. Tak sab galat hai,
Waise ab aap ne apni galti maan li hogi. 1/sin x = sin -¹ x nahi haota.
Balki (sinx) -¹ hota hai.
Galti maan lene se hum chote nahi ho jaate hai.
Exactly that's what I was going to comment
Yep
i jast missed him too much its been one year i didnt studied by dear sir and i was biting bullets now its my board and i am gonna preapre welk because of him thanks sir you save me in every board exam
Explanation method is so good.Thankyou sir
Dear sir..
As a jee student
1/(sinx) is not equal to arcsinx...😂
It's a humble request to you sir ji, please upload all 12th videos like this. .....🎉🎉🎉
Thank you for 1k likes guys 😂😂
Thank you sir for this greatful viedo😭😭🙌
Study mtlb dear sir
Love maths ❤
sin⁻¹θ is not equal to 1/sinθ
To kya hoga