This just made me remember how much I enjoy Trig identities
@AdhyayanGuruji
3 жыл бұрын
This is 10 th standard question u can check easy trick of trigonometry table on my channel
@marienbad2
3 жыл бұрын
That is some beautiful maths. Really well explained and shown.
@harshdarji1122
3 жыл бұрын
Meanwhile JEE Math Teachers - “you have 30 seconds to solve this question!”
@apatriot6421
3 жыл бұрын
30 seconds is very much
@bunnito365
3 жыл бұрын
And we people miraculously do that in 30 secs...!
@SousouCell
3 жыл бұрын
Much more easier writing exp forms Like this Sin x + i cos x = - e^(-ix) Sin x - i cos x = e^(ix) / i It solves it self in 3 more lines
@jasimmathsandphysics
3 жыл бұрын
I could listen to you for hours
@antoinefakhr8542
3 жыл бұрын
Hi Mr Woo! Thanks for your videos, What app are you using to do your math on this video? Thank😇
@crustyoldfart
3 жыл бұрын
The manipulation might be simplified by making the substitutions a = 1 + sin(t) and b = cos(t) the LHS then can be expressed as ( a + ib ) / ( a - i*b ) = ( a^2 - b^2 )/( a^2 + b^2 ) + i*( 2*a*b ) / ( a^2 + b^2 ) It follows that, writing s for sin(t) a^2 - b^2 = 2*a*s. and a^2 + b^2 = 2*a and LHS simplifies to 2*a*s / ( 2*a ) + I*2*a*b / ( 2*a ) = s + I*b = sin(t) + I*cos(t) ...............QED
@michasoko458
3 жыл бұрын
My friend from vietnam is very proud of u , Thank u fot teaching us br.
@AdhyayanGuruji
3 жыл бұрын
This is 10 th standard question u can check easy trick of trigonometry table on my channel
@incidursunzade1607
3 жыл бұрын
which program is it, you work on? this is great😍
@السعيدصلاح-ح4ث
3 жыл бұрын
I have solved it with a nice trick, it was far shorter, 1 = sin^2(theta)-i^2cos^2(theta) and the simplfying it to (sin(theta)+icos(theta))(sin(theta)-icos(theta)) , you can factor then.
@y_x__i
3 жыл бұрын
is there any video about Gauss Elimination ? sorry it's so random but i'd like to learn when and how to use it
@AdhyayanGuruji
3 жыл бұрын
This is 10 th standard question u can check easy trick of trigonometry table on my channel
@udaysehgal447
3 жыл бұрын
Fun fact-:This question is in class 10 maths ncert of india😂
@smitha290
3 жыл бұрын
🤣
@apatriot6421
3 жыл бұрын
Just cane back form now after giving preboard , maths exam, same question came just without that (i) whose value is √-1 I know this but not in ncert
@apatriot6421
3 жыл бұрын
I mean not same question but hard that this , this is very easy , it Kay come for 1 marks not more that that
@satvikp3186
3 жыл бұрын
Complex numbers are not in class 10
@usmanshams9116
3 жыл бұрын
Awesome Professor
@robertlunderwood
2 жыл бұрын
There's the whole theta not equal to (3+4n)pi/2 for all integers n.
@chessandmathguy
3 жыл бұрын
Beautiful.
@mihirbhatt8419
3 жыл бұрын
Which software you are using sir ?
@khansalman6257
3 жыл бұрын
Even I'm interested in the exact same thing
@satvikp3186
3 жыл бұрын
notability
@mihirbhatt8419
3 жыл бұрын
@@satvikp3186 thank you bro
@mikevilters6237
3 жыл бұрын
How to remember to "realize" the denominator: i don't like to be at the bottom, i like to be at the top. (credits to blackpenredpen)
@AdhyayanGuruji
3 жыл бұрын
This is 10 th standard question u can check easy trick of trigonometry table on my channel
@jatinarora6884
3 жыл бұрын
Hi sir can u make videos on coordinate geometry for jee advanced
@vasuverma2874
3 жыл бұрын
Totally agree with you especially on coordinate and algebra 😶😶
@shrey9660
3 жыл бұрын
11th Ncert ka h yeh tho lmao
@aut199
3 жыл бұрын
Bhai yeh hi Bola Maine bhi sala ek UK wala bolta ki jhut bol Raha hu 😂
@abdulnihaal5811
3 жыл бұрын
Yea bro 😂 ur ryt
@satvikp3186
3 жыл бұрын
@@aut199 lol 😂
@jamiewalker329
3 жыл бұрын
Subbing in 3*pi/2 shows that this isn't true for all theta. Also, It's not a logical necessity to start with one side and manipulate it into the other side. An easier way of proving this would be to start with (1 + sin(t) - icos(t))(sint + icost) = sint + (sint)^2 + cos(t)^2 - i sintcost + isintcost + icost = sint + 1 + icost = 1 + sint + icost. Dividing by 1 + sin(t) - icos(t) gives the result (but it's important to note that this can only be done provided that t isn't 3*pi/2 or any multiple of 2*pi from this.)
@paultan5419
3 жыл бұрын
Yes it is, evaluate the limit.
@jamiewalker329
3 жыл бұрын
@@paultan5419 No it's not. That's not the definition of equality, and 0 has no multiplicative inverse. Also also two expressions are not equal at a point if their limits coincide as you approach that point. Just because floor|x|= ceiling|x-1| on the domain 0 < x < 1, and so they have the same limit as x approaches 0 (i.e. 0) it doesn't mean they agree at 0, indeed if they did then we would obtain 1 = 0 which is absurd.
@MasterMathematicsSM
3 жыл бұрын
Super #mastermathematics
@wilkerboaventura9374
3 жыл бұрын
What is the app name he uses to teach?
@GabeMcCarthy182
3 жыл бұрын
Angry Birds
@tone4422
3 жыл бұрын
I think it’s goodnotes 5
@thedavidji
3 жыл бұрын
notability I think
@robbiegalloway912
3 жыл бұрын
Its notability
@AdhyayanGuruji
3 жыл бұрын
This is 10 th standard question u can check easy trick of trigonometry table on my channel
@ІгорПривид-г4щ
3 жыл бұрын
It is a beautiful math exercise!
@AdhyayanGuruji
3 жыл бұрын
This is 10 th standard question u can check easy trick of trigonometry table on my channel
@harshdarji1122
3 жыл бұрын
This is perhaps the most basic question you can give a grade 10/11 student here in India mate😂😂
@arielfuxman8868
3 жыл бұрын
Yo we write alpha the same way! cool!
@particleonazock2246
3 жыл бұрын
Where's the Apple pen?
@avishekdas365
3 жыл бұрын
Some from your thesis
@aut199
3 жыл бұрын
This is literally grade 10th trigonometry question in India . See the difference of the difficulty between other countries and Indian Education System 😂
@Leox204
3 жыл бұрын
Stop flexing your country. Ur lying there is no wuestion like this in 10th grade we are not dumb
@aut199
3 жыл бұрын
@@Leox204 I am not flexing instead I am just criticising how bad our system is that they are ruining the lives of children by putting hell lot of burden on them . Read my comment properly before making any judgement and I am not lying about it , just search Ch 8 Trigonometry grade 10th CBSE then you will find out whether this question exist or not
@Leox204
3 жыл бұрын
@@aut199 alright lemme search it up then and I will confirm it its the same question. I do trigonometry as well but in 10th grade im pretty sure you wouldn't have any complicated problem like this
@Leox204
3 жыл бұрын
They are not the same questions dude. In ur questions u need to find side lengths and prove it in uk we do that in year 9 or grade 9 lol
@aut199
3 жыл бұрын
@@Leox204 year 9 is same as grade 8th dude just search it and side length questions are in exercise 8.1,8.2&8.3 go check exercise 8.4 last question then you will find out . Type ex8.4 class 10 CBSE 👍
@qobilruzmatov48
3 жыл бұрын
Nice good
@AAA-ix2hw
3 жыл бұрын
This qn is there is class 11 maths textbook in india haha
@jatinarora6884
3 жыл бұрын
We face these type question in jee in India 😂😂
@The_Math_Enthusiast
3 жыл бұрын
No JEE is tougher
@jatinarora6884
3 жыл бұрын
@@The_Math_Enthusiast I know I am preparing for that only
@neutron417
3 жыл бұрын
Yeh toh boards me bhi naa aaye JEE toh duur ki baat hai
@apatriot6421
3 жыл бұрын
Jee? 10th ka preboard deke aa raha hu isse Hard question the usme, ye to 10th mai 1 marks ke liye aayega, lekin chance kam hai
@SmolaniAshki
3 жыл бұрын
first comment!
@isaiahtusing483
3 жыл бұрын
First reply!
@particleonazock2246
3 жыл бұрын
Second reply!
@JashXD
3 жыл бұрын
Third reply!
@sadaq5973
3 жыл бұрын
Fourth reply!
@2070user
3 жыл бұрын
Fifth reply!
@abdulnihaal5811
3 жыл бұрын
These type of questions are easily done by a high school student of india lmao
@SuperToughnut
3 жыл бұрын
Teach how these maths were discovered. Don't just teach abstract math. Some of us need to know why and where this can be used.
@EpiCuber7
3 жыл бұрын
Did you miss the previous videos on history of numbers?
@brettjames9088
3 жыл бұрын
Systematic study of trigonometric functions began in Hellenistic mathematics, reaching India as part of Hellenistic astronomy.[2] In Indian astronomy, the study of trigonometric functions flourished in the Gupta period, especially due to Aryabhata (sixth century CE), who discovered the sine function. During the Middle Ages, the study of trigonometry continued in Islamic mathematics, by mathematicians such as Al-Khwarizmi and Abu al-Wafa. It became an independent discipline in the Islamic world, where all six trigonometric functions were known. Translations of Arabic and Greek texts led to trigonometry being adopted as a subject in the Latin West beginning in the Renaissance with Regiomontanus. The development of modern trigonometry shifted during the western Age of Enlightenment, beginning with 17th-century mathematics (Isaac Newton and James Stirling) and reaching its modern form with Leonhard Euler (1748). Feel better?
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