Sin 90 degrees = 1 😎 but why ???
ฝัง
- เผยแพร่เมื่อ 23 ส.ค. 2024
- Trigonometry is one of the most challenging chapters in the world of math. A lot of students fear trigonometry and questions from this chapter are always difficult to crack.
In this video, we will deep dive into trogonimerty's main function which is SinX. Where the value of X is 90 degrees.
We know the basics that the value of SinX in a triangle is considered the ratio of perpendicular side upon hypotenuse of the right angle triangle.
SinX = P/H
In a triangle, there are always three sides perpendicular, base & hypotenuse. If we want to find the value of sin 90 degrees then the value of X= 90 degrees where the value of base tends to zero and the other two sides become equal.
Thus the value of Sin 90 Degrees = 1
Check out the video for a detailed explanation.
Stay tuned with @BHANNATMATHS
🚀🚀Social Media Links:🚀🚀
----------------------------------------------------------------------------------------
Telegram: (Channel) - t.me/bhannatma...
(Group) - t.me/bhannatmaths
Telegram Handle: @bhannatmaths @bhannatmathsofficial
Instagram: / mybhannatmaths
Twitter: bh...
----------------------------------------------------------------------------------------
#amansirmaths #bhannatmaths #maths #algebra #mathsclass #algebricexpression #factorise #factors #algebraformulas #trigonometry #trigonometricequations
For any query/doubt mail us at: bhannatmaths@gmail.com
For All Notifications Join Our Telegram Group: @bhannatmaths
![ง้อ (ALRIGHT) - FOURTH Prod. by URBOYTJ [ OFFICIAL MV ]](http://i.ytimg.com/vi/Qs8ZeV6Dqj8/mqdefault.jpg)
Check out Bhannat Maths On Instagram (@mybhannatmaths) - bit.ly/MyBhannatMathsInstagram
Cos90=0?
????
Sir, tan 90 is infinite.. how??
@BHANNATMATHS, sir what about "0:27"?
Sin 90 ko hi kyu consider krte hai jabki sin(1.57radian) bhi 1 hota hai jabki 90° aur 1.57radian equivalent hai sir batana ap
Also available in Class 10 NCERT😊😊
But loved this explanation by you.❤
To bsdk vahi se padh leta
Where. ? Pg no ?
@@sun.vrs. in Triginometry Chapter theory
@@sun.vrs. see trigonometry chapter
I didn't get 😅
I had the same visualisation! Another way can be to think of a unit circle and increasing the angle of radius along x-axis
🙏🙏
I always thought if we considered the 90 degree angle then for that angle the perpendicular will be the hypotenuse (opposite side is considered the perpendicular)and Sinx=P/H since P=H Sinx=1.
@@samizayn5666 yes, that is also a way of saying the same thing.
This type of teaching is needed for our education system
Hats off to u sir ❤️
I remember my father explaining this to me in the same methodology back in my 9th class😊 thank you sir for reminding 🙏
Same!
My father also taught me this in 8th Class
@@user-eo1vk same my father also explained me this when I was inside my mom's womb 😊
@@TheShadowKid131😂😂
@TheShadowKid131 same ! I also taught this to my father in my past lives.😊
Bhai ki yaadein taza ho gyi
Similarly we can prove cosine of 0° = 1,if we bring the Hypotenuse significantly closer to the Base, hence the angle between them will be tending to 0° and both the sides will be approximately equal, thus by definition of cosine of any angle, we can say that cos0°=1.
After 6 years of studying sin90=1 now i got to know that proof
Mene aaj hi isko class 10th ki book me dekha hai aur smjha hai aur aaj hi aap video bhi daal diye
What a coincidence 😂
But sir if we take mathematics calculation aside from it and think it logically and use some simple rules of a triangle then this perception would violate the simple rules of a triangle.
The sum of any two sides of a triangle is always greater than the other side.
But in this case B+P=H [0+x = y].
Also for a right triangle, the hypotenuse is always greater than the base and perpendicular.
Let me know if anyone knows the answer.
Think again: when he says we're reducing the base, it also means we're reducing the hypotenuse. Additionally, we're not using the same hypotenuse as we did from the beginning; rather, we keep changing the hypotenuse as we reduce the base. However, it's not possible for the hypotenuse to become greater than the perpendicular (H>P) and still form a right triangle with a 90-degree angle (i.e., sin 90 degrees).
When the hypotenuse (H) and perpendicular (P) have equal lengths (i.e., H=P), then we can use the Pythagorean theorem to find the length of the base (B). The Pythagorean theorem states that H^2 = P^2 + B^2, so if H=P, then B must be equal to zero. In other words, the triangle would not have a base.
Now, when the triangle doesn't have a base, it means that the hypotenuse and the perpendicular form the two legs of the triangle, which are equal in length. This type of triangle is called an isosceles right triangle because it has two sides (the legs) that are congruent (equal) and one angle that measures 90 degrees (the right angle).
@@YouMeverse Read the question properly and I know this can be possible in exceptional cases but I was here for confirmation of the information to understand it properly.
NOT BAD SIR
THIS VIDEO IS SAYING THAT YOU ARE WORKING SO HARD AND DEEP
THANK YOU SIR
PLEASE MAKE MORE VIDEOS, MORE APPROACH LIKE THIS.
Also available in class 10 bok
10th ki NCERT kabhi kholi thi ?
10th ki ncert mein hai bhai 🤦
@@AdityaKumar-gv4dj woh thik hai but bacche ncert ko ignore krte hai aaj kal. Sab bacche usse ache se nhi padhte
@@allbookshorts10259th ki Goyal Brothers mai bhi hai
Extraordinary observation !! Loved it sir💖
fact - everyone knew this butt need teachers like u to flash such hidden and deep things !🙂
Succes demands 14 things.
1. Great dream
2. Hardwork
3. Continuous acquire knowledge.
4. Preseversence a one should not afraid from problems.
5. Science is a lifetime mission I will work work and work and succeed .
6. My greatest friends will be great scientific minds , great teachers, and great books.
7. I have to realise that I have to set a great scientific goal that will lead me to think high and preservance.
8. I will remove problems faced by the planet earth in the areas of water , energy, habitat , waste management and environment through the application of science and technology.
9. My national flag flies in my heart and I will bring glory to my nation .
10. No problem will defeat me I will become the captain of problem. Defeat the problem and succeed .
11. When there is righteousness in the heart.
There is beauty in the character. When there is beauty in the character.
There is harmony in the home . When there is harmony in the home. There is order in the nation . When there is order in the nation. There is peace of the world .
12. Learning gives creativity. Creativity leads to thinking. Thinking provides knowledge.
Knowledge makes you great.
13. Let not my winged days be spent in vain.
14. Wherewer I am a thought will always come to my mind that is what I can innovate , invent or discover.
@ by APJ ABDUL KALAM.
So my dear all hardworking aspirant focus on your study. Don't look what others are doing. Don't be depressed or demotivated by the problems you faced. Look on yourself that what will you do for your nation. For india how you make india devlopment country. But if you want to develop india .you should remember that no one will hurt by ourselves it is any animal or environment. I hope and pray to god that you and your family members will be happy, healthy and successful.
Great bro
Sintheta = P/H WE KNOW THAT WHEN P = H THAN THE DEGREES IS ALSO BE INCREASE THAN SIN THETA =P/H BOTH ARE EQUAL WHEN IT ARE CANCEL DOWN THAN SINTHETA =90DEGREE THAN SINTHETA90=P/H THAN HENCE VALUE SINTHETA90 IS =1 . THANKS
REGARD
ASHIV.
I was very keen for this concept sir. Thankyou so much for such amazing explanation.
In sin90° ,P=H so though we know P/H= sin thita so Sin90 =H/H or P/P=1 . Thank You ❤
you can prove that by the same way but with moving (H) to Opposite direction left side,and x will become 90 then (H) &( p) are the same length. 👍
Love you Sir ji❤❤😊😊🙏🙏 pranam
King of maths ❤️
Aman sir
Thankyou for your efforts sir,!!🍁 By the way,,these concepts is already explained in class 10 ncert maths textbook!!😊👍
Mene aaj hi padha hai ncert Class 10th chapter 8
What is wrong if we say sin is opp side / hypotenuse, and if we consider 90 degree angle, the opp side to 90 is hypotenuse itself. So opp/hyp actually becomes hyp/hyp which gives you 1.
In my opinion this method is more suitable for 0 degree than 90 degree angle.
This is better🙌
Aman Sir, I want to ask u ,
Ki jab angle 90° degree ko aproach kiya it means base Zero ho gaya,
& apne kaha trigonometry Right angle tringle pe based hai .
& mera Qs yah hai ki without base triangle exist karega???
Plzz aap next video mein bataeye!! 🙏
In unit circle
X Coordinate of point is sin theta
Where theta is elevation angle from +ve X axis,
Now at 90° , X coordinate of point is 1
And so is sin theta
Unit circle is way better visualisation.
Perpendicular respective angle ke opposite waali side hoti hai toh agay 90 ko lele to perpendicular aur hypotenuse same ho jayega hence sin90⁰=p/h= 1
Hamare Maths ke teacher the hame before 11th ofc tuition ke
Iqbal sir uhone hamko bohot achhe se maths padhaya aur ye bhi bataya unhone hi why sin90=1 and I wish ki sare maths ke teacher kash Iqbal sir ki tarah maths padhate toh aaj India me maths ke liye baccho ke dil me dar na hota
I RESPECT U SIR FROM my HEatr 💙 . pls make videos like this and tell us amazing concepts
Sir,you are my hero and I also wants to become like you
Wizard of Maths🔥🔥❣️❣️
What an idea sir ji...aap tho Kamal kar diya ........This is very SIMPLE 😃😄
Where there is the triangle at sin 90 . The triangle is not present...its same as someone after the death will not be present but that does not mean he never existed... very nice explanation i always hated math at school because Formula were dumped without any explanation and clarification. If only i would have got such explanation... thank you sir
I tried to understand the logic but couldn't find a proper explanation anywhere . Now I am about to see your video Sir
Thanks sir ,aapke vdo dekh kr mai maths ko feel krta hun🙏🏾🙏🏾
Is that the limit or it really becomes h=p.
It can also be explained by using Circular System of Trigonometry
How
If we merge it to 90° we find H>P, how can they be equal, please sir explain me
Think again: when he says we're reducing the base, it also means we're reducing the hypotenuse also. Additionally, we're not using the same hypotenuse as we did from the beginning; rather, we keep changing the hypotenuse as we reduce the base. However, it's not possible for the hypotenuse to become greater than the perpendicular (H>P) and still form a right triangle with a 90-degree angle (i.e., sin 90 degrees).
@@YouMeverse simpler way to prove is by Pythagoras theorem :
Base^2 + perp^2=hypotenuse^2
If base^2=0
Therefore perp^2=hypotenuse^2
So perpendicular=hypotenuse
Sin o is ratio of perdicular by hypotenuse. As we approaches to 90 degree. The lenght of hypotenuse becomes equal to perpendicular
Amazing explanation 🤩🤩
Super simple method
Sin (45 + 45)
Sin (60 + 30)
Sin (120 - 30)
😂😊❤
Very nice sir
Is Question ko bahut dino se ham samajhane ki kosis kar rahe the
Amazing explanation. Well done, sir.
Measure of perp.and hypotenuse become equal when angle concerned equal.
Thank you very much Sir❤.
Similarly if we increase the base gradually such that the angle of inclination decreases, at a point of time when x=0 , then H=∞ and sin 0=P/∞ = 0.
0:52
When the angle becomes 0, H doesn’t become infinity. That remains constant. P becomes 0. So, P/H = 0. Hope that clarifies it!
We can understand it by sinx graph too, at x= (4n+1) π/2 ; n€ Z , sin x graph output is 1
I have visualised it many times before but sir honestly aapke batane me bhi feeling ki koi Kami nahi thi 😊❤
I like this type of informational videos
Thank you sir ❤
It is very helpful to us
this I learned in my childhood
Thankyou so much sir for teaching like this❤️❤️. But how can 2 angles of a triangle be 90 degree.
In right angled triangle , h=p2+b2, means h>p,h>b so why h=p in this case
You can well explain in the original triangle where x= 90 degrees and P = H.
आप को गणित समझाने का बेहतरीन अनुभव है ।
महासय जी कृपा करके
Sin , Cos, tan, cosec,
Sec & cot
के बारे में पूरी जानकारी देने
की कृपा करे
On unit circle centered at origin y coordinate represent sintheta term when theta = 90 degree the radius of the circle will represent (0,1) point Therefore sin90= 1
Aesa to me ne kabhii socha hii nai
Well explained
This is a nostalgic concept as it took me 3 to 4 days in my Class 10 to understand this thing.
Haha yeah me too.... now all those concepts look so easy
@MotionGamerzOfficialyou're a geniousssss
@MotionGamerzOfficial go and play minecracraft dude🗿
@MotionGamerzOfficial name?
Thanks a lot sir, mai class 10 me hun mere syllabus me aaya to Maine rat liya
Lekin aapne iska logic bata diya thank you sir ❤❤❤❤❤❤❤
Thank u sir❤
Understood sir!, Thank you!
Because the triangle has three angles 0°, 90°, 90° and the triangle is a special case. Both Hypotenuse and Opposite are same because the triangle is a Straight Line.
Thankyou very much,how school has not focused on how the values were estimated and we had to memorize and than we forget but now after watching this I can calculate the values by your concept.
क्या बात है सर कमाल कर दिए Thanks गुरूदेव
Also can be solved by Mclaurin's series expansion by putting x= pi/2
Yes we have the proof by maclaurin in A levels. That is better like we can find for any values. But I like the conceptual method presented in this video.
If trigonometry is all about right angle triangle then why we calculate angles more than 90 in trigonometry ??🤔🤔
Bahut achha explain Kiya aapne excellent
Thanx sir
Simple but effective explanation
The Pakistani Students Almost Depends On Indian Teachers Like Aman Sr etc.
Lot Of 💝💓💖 From Pakistan ..
Legend 🙌❤
Excellent explanation.. just loved it sir.....
Sir you are the best teacher in the world.May god bless you with a wonderful life
Sir Sin , Cos ,Tan inn sabke angles nikalne ke liye circul ka use karte hai???
😊😊
Sir V.K.Bansal sir ki sheet se aur questions lekr aaiye
it is tough to understand when using triangles, but when you use a unit circle and coordinate geometry to explain the trigonometric ratios, it is just much easier
You are the best teacher in the world 🌏🌏 👍👍👍
*SIR .... TODAY I FOUND THE ANSWER TO MY LIFETIME QUERY,,,, THANKS SIR* 🙏
SIR PLEASE UPLOAD BASICS OF ALL MATHEMATICS LIKE THIS
STARTING FROM
1. MULTIPLICATION
2. DIVISION
3. DERIVATIVE
4. INTEGRATION
5. ETC... ETC...
❤ 5:05
Yes sir we need this type of videos
Wow😮.
Deep Thank you 😍
Bring more conceptual questions 😅😅
Thanku sir for simplest and easiest way to understand this concept
Good.explanation..your.vedios.are.playing.important.role...worth.subscription thanks.from.Bangladesh..Sylhet
Sir, would you explain that why :sin(1°)= 0.01745 and the value of 1degree = 0.01745 radian nearly is same. Apart from deeply explain the solution why both are nearly same. Sir you're my lovely teacher .one day we will meet .
If slowly slowly you meet the two base point to eachother then it will no longer a triangle it will become a vertical straight line
And if it is a vertically straight line then the triangle formula sin p by H doesn't gonna work.
This concept is applicable in this method ...but what are the other theoretical method to prove sin 30,sin 45,sin60.....
Great Sir
Thank you sir 🙏🙏
Sir kuchh din pehle hi mai yh soch rha tha or aapne video bna di 😊
One question arises from my mind that is, if value of X approaches to 90° then triangle doesn't exist then how could we find value of sin.
You are correct that a triangle must have at least three sides and that it must satisfy the triangle inequality, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
However, in the case of sin(90), we are not talking about an actual triangle with physical sides, but rather a mathematical concept used to represent the ratio of the length of the side opposite the 90-degree angle to the length of the hypotenuse in a right triangle.
In other words, sin(90) is not a physical triangle, but a mathematical concept that can be applied to any right triangle that has a 90-degree angle. In the case of a right triangle with a 90-degree angle, the hypotenuse is the only side present, and the opposite side (which is usually opposite to one of the acute angles) does not exist. Therefore, in this special case, the triangle only has two sides: the hypotenuse and the perpendicular.
Even though this situation violates the rule that a triangle must have at least three sides, sin(90) is still a well-defined mathematical concept that represents the ratio of the sides in a right triangle with a 90-degree angle.
But if P and H become equal and overlap each other
Then it won't be a triangle anymore because one side would be of 0 cm and one angle would be 0 and two angles would be 90.
But its available in class 10th ncert
Prove is present in ncert
i too got the same doubt, why that man didn't explain this?
सर आपका यह concept बहुत अच्छा लगा
If we change base value then angle x also change sir.
Sir I have a question please tell 🙏🙏 me you say that you are increasing the angle then simultaneously hypotenuse is decreasing than it will coincide and then hypotenuse=perpendicular right 👍. Then tell me that in cos 0° = 1. So in this case angle will decreasing and then simultaneously hypotenuse will increasing than how it will possible that hypotenuse= base tell me please 🙏🙏?
Very bhannat concept 👌🥳
Love you please make this type of video more and more
Since all the trigonometric ratios are valid in right angled triangle only so for extra 90 angle in a right triangle is not possible and for x approaching to 90 degree angle will make it a line not a triangle
Superb concept clearance
Aaj yahi concept gb sir ne apni kaksha mai padhya
If the hypotenuse becomes perpendicular, then won't it be a straight line instead of a triangle? Though mathematics depends mostly on imagination, but still i had this confusion.
In our course, we learnt how these values came by the help of the Unit Circle.
Nonetheless, i think this is a wonderful explanation.
Same
No it's not a straight line basically they overlap on each other or coincident so angle between them becomes,0 and they become equal hence sin90° is 1
@@piyushverma_99 accurate, theoretically. :)
@@piyushverma_99 bruh if there angle become 0 so sin0 should be 1 not sin 90
0° and 90° of any trigonometric function is not actual value but tending value...
It means as the angle of sine function tends to 90° . perpendicular and hypotenuse tends to be equal...😊
Excellent explaination
What an explanation
Nice
Jab base टेंडस to zero then naturally cos 90becomes ratio of base to हाइपरटेन्यूज ie 0divided by हाइपरटेन्यूज that is zero
It's the idea of class 10 mathematics ncert