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All of Trigonometric Identities and Equations in 30 minutes!! | Chapter 10 | A level Pure Maths

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The GCSE Maths Tutor

The GCSE Maths Tutor

Күн бұрын

Пікірлер: 153
@TheGCSEMathsTutor
@TheGCSEMathsTutor 2 жыл бұрын
👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - kzfaq.info/get/bejne/i897iaWkza-zpmg.html If anyone would like to support the channel you can become a member here: kzfaq.info/love/StPzCGyt5tlwdpDXffobxAjoin or buy me a coffee here: www.buymeacoffee.com/gcsemathstutor Thank you for all of your support! 😁🙏🏼 New Discord Link: discord.gg/nRMtgr5AWA 👑
@bastianjohnson6645
@bastianjohnson6645 2 жыл бұрын
Hi I wanted to tell you there seems to be a mistake at 27:14 question as it wouldn't be possible for to get 4-5cos theta
@jacobmcgrory2841
@jacobmcgrory2841 Жыл бұрын
ive had enough
@hemragulyusuf4069
@hemragulyusuf4069 9 ай бұрын
Real
@AbdulHadi-ud8dj
@AbdulHadi-ud8dj 9 ай бұрын
bruh same
@liza.56
@liza.56 9 ай бұрын
Same
@josephabraham1848
@josephabraham1848 9 ай бұрын
Real
@Ayzlxn
@Ayzlxn 8 ай бұрын
So real
@tejeshvararunkumar9411
@tejeshvararunkumar9411 Жыл бұрын
I used his videos so much for my GCSEs and I am confident in saying he is one of the reasons to how I got an 8. I didn't he made A level videos and I have been struggling without his help till now. I am doing far better now thanks to you
@TheGCSEMathsTutor
@TheGCSEMathsTutor Жыл бұрын
I’m so glad to hear I could help! Amazing news on your GCSE grade keep up the amazing work! I’m working on some more A-Level videos over the holidays! 😁🙏🏼
@stannersindustries4985
@stannersindustries4985 2 жыл бұрын
I don't understand how these videos are not more popular! You are doing a true service for the good maths education with these videos. (Particularly A-Level, these are much better than the competition).
@apple6112
@apple6112 5 ай бұрын
12:09 you could also remove the 5 common from 5sin2theta + 5cos2theta to get 5(sin2theta+cos2theta) which is equivalent to 5
@immanuellaAyuk
@immanuellaAyuk 4 ай бұрын
that's the same thing i thought of
@phelelekhoza7177
@phelelekhoza7177 Ай бұрын
I came to the comments to find this exact comment 😭.
@oozyjoey8869
@oozyjoey8869 4 күн бұрын
This is what I did, came to the comments to see if anyone else tried this
@shakz7
@shakz7 2 жыл бұрын
Thanks my g, really helped with my A Level maths
@sebclaye9326
@sebclaye9326 Жыл бұрын
same here g appreciate it mush
@courtneylust
@courtneylust Жыл бұрын
really? what grade did you get?
@shakz7
@shakz7 Жыл бұрын
@@courtneylust Icl I got excluded from my old sixth😭, I go to a colly now and im predicted A wbu
@lukesampson8181
@lukesampson8181 Жыл бұрын
@@shakz7why’d u get excluded lmaooo
@shakz7
@shakz7 Жыл бұрын
@@lukesampson8181 Dw😂
@tanatswadebwe8021
@tanatswadebwe8021 2 жыл бұрын
You got me a A 89% at IGCSE math 💓💓
@lizbasiita3498
@lizbasiita3498 Жыл бұрын
Thank you so much! Just one thing though: Have you considered using a thinner pen/marker for your whiteboard? I think it would just make your videos all the more perfect!🥰
@tanirsethu5662
@tanirsethu5662 2 жыл бұрын
Thanks a lot man 🙏. I tried to learn this so many times and couldn't understand it but now you taught me the method my a level maths teachers could never teach. If it wasn't for you, I would be failing a level maths. God bless you
@AbdulMalik-qs9fg
@AbdulMalik-qs9fg Жыл бұрын
bro can you please make a playlist on AS topics for stats and mechanics? It would be extremely helpful
@marib5440
@marib5440 Жыл бұрын
frrr do you know any good playlists for that
@azureass1661
@azureass1661 Жыл бұрын
​@@marib5440TLmaths is pretty solid imo
@smashaj2955
@smashaj2955 8 ай бұрын
@@marib5440maths genie website is good
@Bxbyjyyy
@Bxbyjyyy 7 ай бұрын
I passed my IGCSE math with an A coz of this guys. Teachers were just waffling. Now I'm back for A level and he still the reason. I LOVE YOU MR TUTOR!!!!!!!!!
@tombob641
@tombob641 Жыл бұрын
Why couldn’t you just factorise the 5sin^2 +5cos^2 >>> 5(sin^2+cos^2) >>>> 5(1) >>> 5, am I correct or?
@YashveerRamchurn-cs5xw
@YashveerRamchurn-cs5xw Жыл бұрын
Yeah, that works too cus I also did that and got the correct answer
@boitumelopitso6825
@boitumelopitso6825 6 күн бұрын
that’s what i did as well
@jamie7707
@jamie7707 2 жыл бұрын
Thanks for this amazing video Sir! Is there any chance possible if you may go through the quadrant method used to solve trigonometric functions as that is another method used for solving trigonometric functions and equations sir. Thanks for producing these amazing helpful and straight to the point chapter videos 👍👍👍🔥🔥🔥
@unknown-wm5ls
@unknown-wm5ls 2 жыл бұрын
These videos are genuinely a life saver, thanks.
@Jetset_hd
@Jetset_hd 2 жыл бұрын
extremely helpful, thank you so much
@Bxbyjyyy
@Bxbyjyyy 7 ай бұрын
Dear Sir At 4:19 minutes, on the graph of exact trig values you wrote that cos45 and sin45 equal to 1 over root 2. They're both actually equal to root 2 over 2 Sir. Thank you very much more, I'm understanding the concepts coz of this vid!😊
@sugawaraaa9167
@sugawaraaa9167 7 ай бұрын
1 over root 2 is equivalent to root 2 over 2
@vaed1651
@vaed1651 6 ай бұрын
video helped so much. I'm watching this in preparation for my further maths mock exaam and this has saved me.
@tanatswadebwe8021
@tanatswadebwe8021 2 жыл бұрын
I love this guy I swear 😭😭😭
@katherinemb.6308
@katherinemb.6308 2 жыл бұрын
Oh my god this helped so much. Thank you thank you thank you. Really appreciate your work and channel.
@chocolate8818
@chocolate8818 3 ай бұрын
Lovely video! I finally understood this topic thanks to you sir.
@whizzriz8139
@whizzriz8139 Жыл бұрын
Hey sir, can you do AS stats and mechanics as well?
@mohammedalharthy2789
@mohammedalharthy2789 Жыл бұрын
well done, thank you sir
@TheGCSEMathsTutor
@TheGCSEMathsTutor Жыл бұрын
You are very welcome!
@gracegrimwood5723
@gracegrimwood5723 2 жыл бұрын
are you going to do the statistics and mechanics?
@chillvibes1748
@chillvibes1748 2 жыл бұрын
Hello sir at around 27:14 how can (5x-4) be written as (4-5x), do you rearrange to first get (-4+5x) and then multiply that by (-1) to get (4-5x)
@charliefowler2781
@charliefowler2781 2 жыл бұрын
it's because he flipped the signs around earlier to make 10x^2+7x-12, so then he flipped the signs back around afterwards
@bastianjohnson6645
@bastianjohnson6645 2 жыл бұрын
@@charliefowler2781 yes but that still gives you same factors but do you then after multiply by - 1
@sanzusbbl9844
@sanzusbbl9844 7 ай бұрын
Sir please do more Alevel vidoes these are saving me !!! u lift soo much stress off my head
@jozimaps9420
@jozimaps9420 2 жыл бұрын
You are incredible
@TheGCSEMathsTutor
@TheGCSEMathsTutor 2 жыл бұрын
Thank you so much 😁🙏🏼
@yopolis4523
@yopolis4523 2 жыл бұрын
I don,t understand the example where where we show the equation equals to 4-5 cos0. You changed the sign for the quadratics and when you found your 2 answers, you also changed the (5x-4) into (4-5x). The sign (-) follows the 4 not the 5 but you just swapped it. Can you please explain this part? I don’t understand it at all.
@yopolis4523
@yopolis4523 2 жыл бұрын
Also, I didn’t change the quadratics sign so i got (-5cos0 + 4) (2cos0 - 3)/ (3 + 2cos0). Do the 3 +2cos0 and the 3 - 2cos0 cancel out? Please let me know if you see this comment.
@kamikazechameleon3700
@kamikazechameleon3700 2 жыл бұрын
if you're talking about the quadratic at 28:32 its because the quadratic was originally negative and he made it positive so he had to change the output to expand out into the negative the quadratic instead of the positive
@davidhill8163
@davidhill8163 2 жыл бұрын
Many thanks for breaking this down slowly and step by step
@SeoYejun-tf8dc
@SeoYejun-tf8dc 9 ай бұрын
You are my life saver🎉
@jamespinder8381
@jamespinder8381 Жыл бұрын
In the solving trig equations chapter, using the quadratic method wouldn't you only get the first two answers? Because 57 and 122 fall into the A and S quadrants, and the other two values fall into the T and C quadrants?
@malulu.9118
@malulu.9118 10 ай бұрын
this is really helpful thank you so much
@charliecampbell5598
@charliecampbell5598 Жыл бұрын
Thank you so much for this! The textbook uses the circle method but my teachers use this method - much simpler imo
@alisonjalon13
@alisonjalon13 Жыл бұрын
this was so useful, thank you!
@mathsmeadow5106
@mathsmeadow5106 2 жыл бұрын
Is there any possibility that you would go through A2 pure maths before our exam 2022?
@Washingmachine256
@Washingmachine256 7 ай бұрын
well i finally learnt how to factorise properly in this video ❤
@gudforyou9103
@gudforyou9103 Жыл бұрын
25:55 i did not understand why you changed one of the minus signs to plus. isnt it supposed to stay minus?
@sugawaraaa9167
@sugawaraaa9167 7 ай бұрын
He multiplied by minus 1 to make it easier and then swapped the numbers in the brackets at the end to make it the same as before
@ff_cobra_kai
@ff_cobra_kai 2 жыл бұрын
Can I ask ...in the first example can we just factor out 5 Then turn everything into 1?
@dionthomas2967
@dionthomas2967 2 жыл бұрын
No because you are trying to show that it’s identical to 5 so you shouldn’t really change the right side.
@arzaadkhan501
@arzaadkhan501 2 жыл бұрын
@@dionthomas2967 but your not bringing anything to the right side. its 5(coa^2+sin^2)
@potati4097
@potati4097 Жыл бұрын
27:21 why wouldn't it be (3+2x)(-4+5x) because you need negative 12, so why would the 4 be positive??
@sugawaraaa9167
@sugawaraaa9167 7 ай бұрын
Because he multiplied by minus 1 before factorising you have to switch the numbers in the brackets to make it the same quadratic
@lemonadechilli172
@lemonadechilli172 Жыл бұрын
You saved my exam mate very helpful thank you a lot
@Amir-nv6cs
@Amir-nv6cs 3 ай бұрын
At 11:00, could u not have factorised the 5 out of the equation? So that it would become 5(sin^2theta+cos^2theta). Then that becomes 5(1). Which becomes 5?
@straymite707
@straymite707 2 жыл бұрын
Thanks so much this is really helpful for revision!
@kola7483
@kola7483 2 жыл бұрын
banga vid like usual chap
@TheGCSEMathsTutor
@TheGCSEMathsTutor 2 жыл бұрын
Thank you! Glad to hear it 😁🙏🏼
@numan4166
@numan4166 Жыл бұрын
For the 7sin squared = 5 question ( 3rd question) do we need to give the 4 x values because in the question for drawing the graph, it's asking from 0 to 360
@andymandy1909
@andymandy1909 Жыл бұрын
I think you do because all 4 x values that he found lie between the intervals of 0 - 360.
@jeffjeffson5967
@jeffjeffson5967 Жыл бұрын
27:05 Sir, what is happening in this section?
@TheGCSEMathsTutor
@TheGCSEMathsTutor Жыл бұрын
Factorising a negative quadratic! I have a video on that if you search the channel 😁🙏🏼
@jeffjeffson5967
@jeffjeffson5967 Жыл бұрын
@@TheGCSEMathsTutor Thank you sir.
@FuckerCummings
@FuckerCummings Жыл бұрын
Thanks very much man , ill be sure to share your channel with my friends , if only you did the full a level course
@MuhammedKhabbab
@MuhammedKhabbab 3 ай бұрын
if sin^2θ + cos^2θ = 1 then 5sin^θ + 5cos^2θ = 5. isn't that the proof. both sides have been multiplied by 5
@dontclickonmyprofilepictur7561
@dontclickonmyprofilepictur7561 3 ай бұрын
yh thats what i thought
@tinashemangumba1169
@tinashemangumba1169 2 жыл бұрын
Thank you so much u really helped me
@jacklordeyey8546
@jacklordeyey8546 Жыл бұрын
22:10 I understand how you find 57.7 and 122.3 by doing the quadrant method but how do you find the other two values as aren’t the only two quadrants the a and in the cast diagram
@jamespinder8381
@jamespinder8381 Жыл бұрын
exactly what i was thinking, theyre in the S and T quadrants
@IndigoRM
@IndigoRM Жыл бұрын
THANK YOU
@antonytembo3120
@antonytembo3120 9 ай бұрын
Would you still get the same answers if you use different graphs ?32:25 for example instead of using the tan graph you use either the cos or sin graph?
@maryammm859
@maryammm859 9 ай бұрын
no, ud have to use the graph for that particular function, e.g. tan graph for solutions for tan x = a
@JenniferOnyemaechi
@JenniferOnyemaechi Ай бұрын
I got confused in the second question part B toward the end where we have Sin^-1=√5\7 The answer isn't corresponding with mine How did you get it
@ippo5005
@ippo5005 2 жыл бұрын
Thank you
@zoe.nothando
@zoe.nothando Жыл бұрын
thank you
@mrcheese1373
@mrcheese1373 2 жыл бұрын
Thanks mate
@VBAHMED
@VBAHMED 2 жыл бұрын
no problem
@AshFeynman
@AshFeynman 2 жыл бұрын
@@VBAHMED you're welcome
@leotang3242
@leotang3242 2 жыл бұрын
please do more pure maths video please!!!!
@hi-pg9bp
@hi-pg9bp Жыл бұрын
Thanks
@user-qr2ni2sb1f
@user-qr2ni2sb1f 9 ай бұрын
Sir please can we be solving GCE question More often??
@Henry-sp3ku
@Henry-sp3ku 2 жыл бұрын
top quality mate
@sei7082
@sei7082 2 жыл бұрын
at 22:04 your method is very long and gives inaccurate values, on calculator go to MODE SETUP --> TABLE --> f(X) = sin(X) --> START? Type number on the left of X in the interval so that's 0 --> END? Type number on the right of X in the interval so that's 360 --> STEP? Type your value for X then the values will be shown in a table. you don't need a graphical calculator just something like the classwiz, saves time and is accurate
@user-vq4qy2hq5i
@user-vq4qy2hq5i 6 ай бұрын
How important is the unit circle for AQA A Level Maths?
@sassinemselabe1496
@sassinemselabe1496 2 жыл бұрын
nice video, but please bring in some more difficult trig identities next time
@asmaa1853
@asmaa1853 2 жыл бұрын
Thank you 💖💖
@joey1317
@joey1317 2 жыл бұрын
Never skip steps. It’s a bad habit to get into and loses marks in exams…
@roxc453
@roxc453 Жыл бұрын
I rlly need to remember this but I keep thinking the examiner can read my mind or something
@courtneylust
@courtneylust Жыл бұрын
@@roxc453 lol same
@Remus786
@Remus786 2 жыл бұрын
How can 5x-4 be written as 4-5x 27:20
@riotza7597
@riotza7597 2 жыл бұрын
cause remember he made -10x^2, 10x^2 to make it easier to work with so at the end he reversed what he did originally
@tasangerbakes
@tasangerbakes Жыл бұрын
11:00 could u not just factor out the 5 and make what's inside the brackets equal to 1 then 5x 1 = 5 ?
@rissikesthiyagarajah2205
@rissikesthiyagarajah2205 Жыл бұрын
Thx
@Sofia-gk9sn
@Sofia-gk9sn 2 жыл бұрын
Hi Sir do you think you could cover the quadrant method please?
@badoublenana
@badoublenana 9 ай бұрын
At 27:27 I had worked out the same way, but I don't get how (5x-4) becomes (4-5x).
@williambailey9343
@williambailey9343 7 ай бұрын
Neither do I. Any explanation?
@sugawaraaa9167
@sugawaraaa9167 7 ай бұрын
@@williambailey9343because he multiplied the quadratic by minus 1 before factorising so you have to swap the numbers in the brackets at the end
@sugawaraaa9167
@sugawaraaa9167 7 ай бұрын
@@williambailey9343he swapped 2x + 3 to 3 + 2x as well even though it doesn’t matter
@williambailey9343
@williambailey9343 7 ай бұрын
@@sugawaraaa9167 yeah thanks. I managed to understand it after some thinking. Just need to make one bracket negative as making both negative does nothing. If you make the other bracket negative it still cancels out.
@ethanmather465
@ethanmather465 7 ай бұрын
17:00
@Ja-od1mh
@Ja-od1mh 6 ай бұрын
Where’s r cos alpha vid
@mistermusab8055
@mistermusab8055 7 ай бұрын
23:13
@user-mx6hd7gg6k
@user-mx6hd7gg6k 9 ай бұрын
Endless pain and suffering I am tired
@BarniDeDino
@BarniDeDino Жыл бұрын
Gosh this chapter is annoying, your explanation helped tho, thanks man
@26Uncovered
@26Uncovered 3 ай бұрын
I'm so cooked
@areefilyas8850
@areefilyas8850 2 жыл бұрын
W video
@castor5580
@castor5580 Жыл бұрын
If this is a level maths me is whole alphabet 😂
@BobBob-uv9fq
@BobBob-uv9fq Жыл бұрын
3;30 mins in and no obviously
@geezer1024
@geezer1024 3 ай бұрын
tired
@beamboy07
@beamboy07 2 ай бұрын
Kms
@nhlanhlafuzane3535
@nhlanhlafuzane3535 2 жыл бұрын
roasted
@Amir-nv6cs
@Amir-nv6cs 3 ай бұрын
At 11:00, could u not have factorised the 5 out of the equation? So that it would become 5(sin^2theta+cos^2theta). Then that becomes 5(1). Which becomes 5?
@Yamesy
@Yamesy 2 жыл бұрын
Thank you
@Amir-nv6cs
@Amir-nv6cs 3 ай бұрын
At 11:00, could u not have factorised the 5 out of the equation? So that it would become 5(sin^2theta+cos^2theta). Then that becomes 5(1). Which becomes 5?
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