Nice video, i solved this a different way: First split tan(12x)=sin(12x)/cos(12x) Use the double angle identity for sin twice to cancel sin(3x) Then plug zero to get 4
Sweet. I approached this problem from a different angle though, pardon the pun. tan(12x)/sin(3x) = sin(12x)/[sin(3)cos(12x)] = 2sin(6x)cos(6x)/[sin(3x)cos(12x)] = 4sin(3x)cos(3x)cos(6x)/[sin(3x)cos(12x)] = 4cos(3x)cos(6x)/cos(12x) --> 4 as x tends toward zero. ◼
Here's the way I approch: tanx is equivalent to x when x approaches 0 sinx is equivalent to x when x approaches 0 which means when x approaches 0, tan12x is equivalent to 12x and sin3x is equivalent to 3x which gives 4 the answer.
6:15 I did not want to do that. I wanted to get rid of sin(3x) at the bottom. Since 12x=4*3x and I remember that sin(2a)=2sina.cosa we have sin12x = 2sin6x.cos6x=2.2.sin3x.cos3x.cos6x. Now both sin3x cancels and we can plug 0s. all cos turns to 1 leaving only 4*1*1/1 =4
How to solve such kind of question sir lim( 1-cos (a(squer root of a)) divided by x is equal to 1 as x approaches to 0 from the possitive direction how to find the value of a
For small values of x sin x will be equal to tan x and also sin x will be equal to x. So for small values of x you get 12x/3x=4. Greetings from the Netherlands 🇳🇱.
The stay hydrated is a major reason why i subscribed. who knew maths videos could be fun.
The "Stay Hydrated" part got me 😂
Nice video, i solved this a different way:
First split tan(12x)=sin(12x)/cos(12x)
Use the double angle identity for sin twice to cancel sin(3x)
Then plug zero to get 4
This is great man,💫keep doing what you're doing, you're saving a lot of lives out there
It's an amazing explanation,thank you sir,,, you really make me to love mathematics..
Glad to hear that
thank you so much 😭😭 you are a life saver!!💓💓💓💓
It's nice to listen and is easy to understand. Thankyuu❤
You're awesome keep up the good work 👍
Sweet. I approached this problem from a different angle though, pardon the pun.
tan(12x)/sin(3x) = sin(12x)/[sin(3)cos(12x)] = 2sin(6x)cos(6x)/[sin(3x)cos(12x)] = 4sin(3x)cos(3x)cos(6x)/[sin(3x)cos(12x)] = 4cos(3x)cos(6x)/cos(12x) --> 4 as x tends toward zero. ◼
Here's the way I approch:
tanx is equivalent to x when x approaches 0
sinx is equivalent to x when x approaches 0
which means when x approaches 0, tan12x is equivalent to 12x and sin3x is equivalent to 3x which gives 4 the answer.
Very slick!
you saved my life, I am eternally grateful
Perfect🎉
Thanks Sir
Thank you sir
your doing a better job please continue. you must to bring more examples for us to understand better
6:15 I did not want to do that. I wanted to get rid of sin(3x) at the bottom. Since 12x=4*3x and I remember that sin(2a)=2sina.cosa we have sin12x = 2sin6x.cos6x=2.2.sin3x.cos3x.cos6x. Now both sin3x cancels and we can plug 0s. all cos turns to 1 leaving only 4*1*1/1 =4
How to solve such kind of question sir
lim( 1-cos (a(squer root of a)) divided by x is equal to 1 as x approaches to 0 from the possitive direction how to find the value of a
I love this
Just multiply it with 12x/12x and 3x/3x
You will get 12x/3x which is equal to 4
For small values of x sin x will be equal to tan x and also sin x will be equal to x. So for small values of x you get 12x/3x=4.
Greetings from the Netherlands 🇳🇱.
Thanks am now doing well in mathematics
Keep it up
those who have stopped learning, have stopped living
❣❣respect
Thank you
You're welcome
Thank you!
You're welcome!
Thanks
No problem
This video is not at all "dry", it is "hydrated"
Stay Hydrated students😅
Divide by 12x you get famous limit just 10 seconds to solve it
Oh yes I didn’t think of that
Solved it in 5 seconds,, just lobital and a bit trig knowledge lol
thats not the point
@@paccrunnaju Solved it algebraically too. Greetings from a civil engineer ✋🏻