Thanks. I do AQA but this still looks like an awkward synoptic style concept that can be added to many contexts
@ChaksFM7 ай бұрын
@@Jiten-pm5lz bro are you ready?
@Jiten-pm5lz7 ай бұрын
@@ChaksFM you can never be truly ready but I completed the 2023 paper and got 86 on it so I think I should be ok
@ChaksFM7 ай бұрын
@@Jiten-pm5lz where did u get the paper bro congrats hope it's like that in the real thing too
@Jiten-pm5lz7 ай бұрын
@@ChaksFM I have the password for it. The AQA 2023 A level Maths past paper. It's unreleased to the public. But it's actually a sweet paper.
@03FRK7 ай бұрын
I did my first maths A Level back in 2022 and I didn’t know about this channel. Last year I did a resit and I found this channel the day before Paper 3 and realised how good of a channel it was (albeit too late). I’m doing maths for the third time and from day one I’ve been waiting for these uploads, the teaching is almost like that in a classroom which makes it so much easier to learn. Thank you Mr. Astbury!
@HamzaElsharkawy-rb2nc7 ай бұрын
im gonna pray specifically for you in my night time prayers
@03FRK7 ай бұрын
@@HamzaElsharkawy-rb2nc I will likewise pray for you during Qiyamul Layl 😄 We’ll regroup once again and evaluate after tomorrow I guess 😎
@itazuraja99217 ай бұрын
This is dedication man! All the veryy best. Insh'Allah u will get A*.
@HO-xi9em7 ай бұрын
do ur best bro get those grades inshallah
@zarinuddin7 ай бұрын
im also resitting this year. i sat my first maths alevel last year 2023. hope u get that A/A * insha'allah
@Oliver-zj4sh7 ай бұрын
No way, you were my maths teacher when I was maybe 9 years old? I am now 21 studying Engineering so thanks for the help. I just randomly stumbled across this video.
@stardreamix7867 ай бұрын
Thanks so much! - nice question! - good luck everyone tomorrow lets cook
@MrAstburyMaths7 ай бұрын
Good luck!
@eugeniafernandes79567 ай бұрын
Thank you so much for taking the time to make this playlist. I found your explanations really helpful. I am looking forward to a video on predicted paper 2! :)
@txb_67137 ай бұрын
loved this question, circles are always so fun to do, thank you sir for all your work! good luck everyone!
@MrAstburyMaths7 ай бұрын
My pleasure!
@miamoos65667 ай бұрын
good luck everyone for tomorrow! - maths a level ocr a student
@aa-gn6zn7 ай бұрын
Don’t see many people doing ocr, how u feeling?
@itzhena53017 ай бұрын
please do the tricky question tomorrow on pure before our paper 1sir! maybe some trig modelling? differential modelling? whatever you think is best
@bennyx9x3477 ай бұрын
Mr Astbury you are the goat. I can only dream of solving circle equations like this. So dam talented!
@madeleine-wc1gx7 ай бұрын
Why do you do tan(2theta) rather than 2(tan(theta)) as the triangles are similar so surely you can just double the value of 1/2?
@spencergee69487 ай бұрын
Just see if tan 60 is twice tan 30.
@ShubhkarmanSinghNijjar-xq1cq7 ай бұрын
You can also use vectors to find the angle between them and then you can see cos x = 3/5 and make a triangle you get tan x = 4/3!
@markhughes46177 ай бұрын
for the last part, if the angle PA makes with x axis is a, and the angle PB makes with the x axis is b then the angle APB is a - b. so tan APB is simply tan(a-b) and we know tan a and tan b as they are the two gradients, 3 and 1/3. Simply sub into the double angle formula in the data book and voila. Might be a smidgeon quicker but obviously both approaches work.
@MrAstburyMaths7 ай бұрын
Fantastic 👌
@davidjenner56656 ай бұрын
Definitely the preferred option, and a(i) should've been done by just substituting y=mx+2 into the equation of the circle then expanding and simplifying to give the answer required. The mark allocation suggests that this was all that was needed.
@sultanamjed36417 ай бұрын
its the big day tomorrow ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
@MrAstburyMaths7 ай бұрын
Let’s go!
@darrenloroy30117 ай бұрын
The last part I just noticed that the gradients are the tan of the angles we can work tanAPB =(3-1/3)/(1+3x1/3)=(8/3)/2=4/3
@daveyboi66757 ай бұрын
That paper was blessed
@moistmoist52797 ай бұрын
Truly heaven sent
@user-fr5tt3fn2l7 ай бұрын
why do we sometimes substitute the equation of a line in the equation of a circle and other times into the main equation that is provided ?
@ho-lq6nd7 ай бұрын
the equation of a circle is obtained from the main equation, so theyre essentially the same thing. Its up to personal preference tbh, for some people its easier to sub in values into the main equation or the completed the square ver. Either will work. Good luck tom
@user-fr5tt3fn2l7 ай бұрын
@@ho-lq6nd that’s makes sense, thank you !! Good luck as well
@best_mate4567 ай бұрын
That should be worth like 12 marks
@davidworley52547 ай бұрын
cant you just do tan(arctan(3)-arctan(1/3))? it gives the right answer
@sampan047 ай бұрын
With the power of Mr Astbury, I will win
@gangstaflower22627 ай бұрын
lets go !
@isashyo7737 ай бұрын
Thanks for the blessings love the content
@HammadSelia2 ай бұрын
What is the paper code?
@OzeCovers7 ай бұрын
Love this question
@michaelswahla49276 ай бұрын
why is the first question 2 marks bro, should be 3 ngl
@thomasdie76897 ай бұрын
Hello, did anyone else's exams feel easier than they thought. Did they lower the grade boundariesm
@eugeniafernandes79567 ай бұрын
No one knows what the grade boundaries for 2024 are yet since the exams aren’t done yet. But if many people found it easy then it’s likely that the grade boundaries will be higher this year or roughly the same as 2023, since I thought the 2023 paper wasn’t too hard.
@ccccccccccccccccccccccc6847 ай бұрын
wow this is actually relally hard
@AS-rq6tr7 ай бұрын
Firsttttttt
@madeleine-wc1gx7 ай бұрын
Why do you do tan(2theta) rather than 2(tan(theta)) as the triangles are similar so surely you can just double the value of 1/2?
@eugeniafernandes79567 ай бұрын
Because you've found the value of tan(1/2APB). So, to find the value of tan(APB) you do tan(2x1/2APB) which is basically tan(2theta). You find the value of tan(2theta) using the double angle formula. I'm sorry if I haven't explained this well.
@madeleine-wc1gx7 ай бұрын
@@eugeniafernandes7956 ah thank you so much, that does make sense yes!
@wesh107487 ай бұрын
@@eugeniafernandes7956 So if tan(1/2APB) = 1/2, why can't you do (arctan(1/2))/(1/2)
@madeleine-wc1gx7 ай бұрын
Why do you do tan(2theta) rather than 2(tan(theta)) as the triangles are similar so surely you can just double the value of 1/2?
@hazelwi7 ай бұрын
It's the tan of the angles between APB which is 2theta so it's tan2theta
@hazelwi7 ай бұрын
You could solve for theta multiply it by two and then find the tan of the new angle after, if that helps!