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

The GCSE Maths Tutor
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24 авг 2024

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Комментарии : 152   
@TheGCSEMathsTutor
@TheGCSEMathsTutor 2 года назад
👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-UiKVBshIOv4.html If anyone would like to support the channel you can become a member here: ru-vid.com/show-UCStPzCGyt5tlwdpDXffobxAjoin 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 года назад
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 Год назад
ive had enough
@hemragulyusuf4069
@hemragulyusuf4069 9 месяцев назад
Real
@AbdulHadi-ud8dj
@AbdulHadi-ud8dj 9 месяцев назад
bruh same
@liza.56
@liza.56 9 месяцев назад
Same
@josephabraham1848
@josephabraham1848 9 месяцев назад
Real
@Ayzlxn
@Ayzlxn 8 месяцев назад
So real
@tejeshvararunkumar9411
@tejeshvararunkumar9411 Год назад
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 Год назад
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 года назад
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).
@shakz7
@shakz7 2 года назад
Thanks my g, really helped with my A Level maths
@sebclaye9326
@sebclaye9326 Год назад
same here g appreciate it mush
@courtneylust
@courtneylust Год назад
really? what grade did you get?
@shakz7
@shakz7 Год назад
@@courtneylust Icl I got excluded from my old sixth😭, I go to a colly now and im predicted A wbu
@lukesampson8181
@lukesampson8181 Год назад
@@shakz7why’d u get excluded lmaooo
@shakz7
@shakz7 Год назад
@@lukesampson8181 Dw😂
@apple6112
@apple6112 5 месяцев назад
12:09 you could also remove the 5 common from 5sin2theta + 5cos2theta to get 5(sin2theta+cos2theta) which is equivalent to 5
@immanuellaAyuk
@immanuellaAyuk 3 месяца назад
that's the same thing i thought of
@phelelekhoza7177
@phelelekhoza7177 26 дней назад
I came to the comments to find this exact comment 😭.
@oozyjoey8869
@oozyjoey8869 21 час назад
This is what I did, came to the comments to see if anyone else tried this
@tanatswadebwe8021
@tanatswadebwe8021 2 года назад
You got me a A 89% at IGCSE math 💓💓
@tanirsethu5662
@tanirsethu5662 2 года назад
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
@lizbasiita3498
@lizbasiita3498 Год назад
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!🥰
@AbdulMalik-qs9fg
@AbdulMalik-qs9fg Год назад
bro can you please make a playlist on AS topics for stats and mechanics? It would be extremely helpful
@marib5440
@marib5440 Год назад
frrr do you know any good playlists for that
@azureass1661
@azureass1661 Год назад
​@@marib5440TLmaths is pretty solid imo
@smashaj2955
@smashaj2955 8 месяцев назад
@@marib5440maths genie website is good
@Bxbyjyyy
@Bxbyjyyy 7 месяцев назад
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 Год назад
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 Год назад
Yeah, that works too cus I also did that and got the correct answer
@boitumelopitso6825
@boitumelopitso6825 2 дня назад
that’s what i did as well
@Jetset_hd
@Jetset_hd 2 года назад
extremely helpful, thank you so much
@unknown-wm5ls
@unknown-wm5ls 2 года назад
These videos are genuinely a life saver, thanks.
@tanatswadebwe8021
@tanatswadebwe8021 2 года назад
I love this guy I swear 😭😭😭
@jamie7707
@jamie7707 2 года назад
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 👍👍👍🔥🔥🔥
@Bxbyjyyy
@Bxbyjyyy 7 месяцев назад
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 месяцев назад
1 over root 2 is equivalent to root 2 over 2
@katherinemb.6308
@katherinemb.6308 2 года назад
Oh my god this helped so much. Thank you thank you thank you. Really appreciate your work and channel.
@whizzriz8139
@whizzriz8139 Год назад
Hey sir, can you do AS stats and mechanics as well?
@vaed1651
@vaed1651 6 месяцев назад
video helped so much. I'm watching this in preparation for my further maths mock exaam and this has saved me.
@gracegrimwood5723
@gracegrimwood5723 2 года назад
are you going to do the statistics and mechanics?
@mohammedalharthy2789
@mohammedalharthy2789 Год назад
well done, thank you sir
@TheGCSEMathsTutor
@TheGCSEMathsTutor Год назад
You are very welcome!
@jozimaps9420
@jozimaps9420 2 года назад
You are incredible
@TheGCSEMathsTutor
@TheGCSEMathsTutor 2 года назад
Thank you so much 😁🙏🏼
@jamespinder8381
@jamespinder8381 Год назад
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?
@chocolate8818
@chocolate8818 3 месяца назад
Lovely video! I finally understood this topic thanks to you sir.
@SeoYejun-tf8dc
@SeoYejun-tf8dc 9 месяцев назад
You are my life saver🎉
@malulu.9118
@malulu.9118 10 месяцев назад
this is really helpful thank you so much
@yopolis4523
@yopolis4523 2 года назад
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 года назад
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 года назад
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
@alisonjalon13
@alisonjalon13 Год назад
this was so useful, thank you!
@davidhill8163
@davidhill8163 2 года назад
Many thanks for breaking this down slowly and step by step
@gudforyou9103
@gudforyou9103 Год назад
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 месяцев назад
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
@chillvibes1748
@chillvibes1748 2 года назад
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 года назад
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 года назад
@@charliefowler2781 yes but that still gives you same factors but do you then after multiply by - 1
@ff_cobra_kai
@ff_cobra_kai 2 года назад
Can I ask ...in the first example can we just factor out 5 Then turn everything into 1?
@dionthomas2967
@dionthomas2967 2 года назад
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 года назад
@@dionthomas2967 but your not bringing anything to the right side. its 5(coa^2+sin^2)
@potati4097
@potati4097 Год назад
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 месяцев назад
Because he multiplied by minus 1 before factorising you have to switch the numbers in the brackets to make it the same quadratic
@sanzusbbl9844
@sanzusbbl9844 7 месяцев назад
Sir please do more Alevel vidoes these are saving me !!! u lift soo much stress off my head
@Washingmachine256
@Washingmachine256 7 месяцев назад
well i finally learnt how to factorise properly in this video ❤
@mathsmeadow5106
@mathsmeadow5106 2 года назад
Is there any possibility that you would go through A2 pure maths before our exam 2022?
@kola7483
@kola7483 2 года назад
banga vid like usual chap
@TheGCSEMathsTutor
@TheGCSEMathsTutor 2 года назад
Thank you! Glad to hear it 😁🙏🏼
@charliecampbell5598
@charliecampbell5598 Год назад
Thank you so much for this! The textbook uses the circle method but my teachers use this method - much simpler imo
@Amir-nv6cs
@Amir-nv6cs 3 месяца назад
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?
@lemonadechilli172
@lemonadechilli172 Год назад
You saved my exam mate very helpful thank you a lot
@numan4166
@numan4166 Год назад
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 Год назад
I think you do because all 4 x values that he found lie between the intervals of 0 - 360.
@MuhammedKhabbab
@MuhammedKhabbab 3 месяца назад
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 2 месяца назад
yh thats what i thought
@straymite707
@straymite707 2 года назад
Thanks so much this is really helpful for revision!
@jeffjeffson5967
@jeffjeffson5967 Год назад
27:05 Sir, what is happening in this section?
@TheGCSEMathsTutor
@TheGCSEMathsTutor Год назад
Factorising a negative quadratic! I have a video on that if you search the channel 😁🙏🏼
@jeffjeffson5967
@jeffjeffson5967 Год назад
@@TheGCSEMathsTutor Thank you sir.
@tinashemangumba1169
@tinashemangumba1169 2 года назад
Thank you so much u really helped me
@jacklordeyey8546
@jacklordeyey8546 Год назад
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 Год назад
exactly what i was thinking, theyre in the S and T quadrants
@IndigoRM
@IndigoRM Год назад
THANK YOU
@ippo5005
@ippo5005 2 года назад
Thank you
@zoe.nothando
@zoe.nothando Год назад
thank you
@mrcheese1373
@mrcheese1373 2 года назад
Thanks mate
@VBAHMED
@VBAHMED 2 года назад
no problem
@AshFeynman
@AshFeynman 2 года назад
@@VBAHMED you're welcome
@leotang3242
@leotang3242 2 года назад
please do more pure maths video please!!!!
@antonytembo3120
@antonytembo3120 9 месяцев назад
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 месяцев назад
no, ud have to use the graph for that particular function, e.g. tan graph for solutions for tan x = a
@hi-pg9bp
@hi-pg9bp Год назад
Thanks
@user-vq4qy2hq5i
@user-vq4qy2hq5i 5 месяцев назад
How important is the unit circle for AQA A Level Maths?
@JenniferOnyemaechi
@JenniferOnyemaechi Месяц назад
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
@Henry-sp3ku
@Henry-sp3ku 2 года назад
top quality mate
@sei7082
@sei7082 2 года назад
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-qr2ni2sb1f
@user-qr2ni2sb1f 9 месяцев назад
Sir please can we be solving GCE question More often??
@asmaa1853
@asmaa1853 2 года назад
Thank you 💖💖
@joey1317
@joey1317 2 года назад
Never skip steps. It’s a bad habit to get into and loses marks in exams…
@roxc453
@roxc453 Год назад
I rlly need to remember this but I keep thinking the examiner can read my mind or something
@courtneylust
@courtneylust Год назад
@@roxc453 lol same
@sassinemselabe1496
@sassinemselabe1496 2 года назад
nice video, but please bring in some more difficult trig identities next time
@rissikesthiyagarajah2205
@rissikesthiyagarajah2205 Год назад
Thx
@ethanmather465
@ethanmather465 7 месяцев назад
17:00
@26Uncovered
@26Uncovered 3 месяца назад
I'm so cooked
@tasangerbakes
@tasangerbakes Год назад
11:00 could u not just factor out the 5 and make what's inside the brackets equal to 1 then 5x 1 = 5 ?
@mistermusab8055
@mistermusab8055 7 месяцев назад
23:13
@badoublenana
@badoublenana 9 месяцев назад
At 27:27 I had worked out the same way, but I don't get how (5x-4) becomes (4-5x).
@williambailey9343
@williambailey9343 7 месяцев назад
Neither do I. Any explanation?
@sugawaraaa9167
@sugawaraaa9167 7 месяцев назад
@@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 месяцев назад
@@williambailey9343he swapped 2x + 3 to 3 + 2x as well even though it doesn’t matter
@williambailey9343
@williambailey9343 7 месяцев назад
@@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.
@user-mx6hd7gg6k
@user-mx6hd7gg6k 9 месяцев назад
Endless pain and suffering I am tired
@Remus786
@Remus786 2 года назад
How can 5x-4 be written as 4-5x 27:20
@riotza7597
@riotza7597 2 года назад
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
@FuckerCummings
@FuckerCummings Год назад
Thanks very much man , ill be sure to share your channel with my friends , if only you did the full a level course
@BarniDeDino
@BarniDeDino Год назад
Gosh this chapter is annoying, your explanation helped tho, thanks man
@areefilyas8850
@areefilyas8850 2 года назад
W video
@Sofia-gk9sn
@Sofia-gk9sn 2 года назад
Hi Sir do you think you could cover the quadrant method please?
@geezer1024
@geezer1024 3 месяца назад
tired
@Ja-od1mh
@Ja-od1mh 6 месяцев назад
Where’s r cos alpha vid
@beamboy07
@beamboy07 Месяц назад
Kms
@castor5580
@castor5580 Год назад
If this is a level maths me is whole alphabet 😂
@BobBob-uv9fq
@BobBob-uv9fq Год назад
3;30 mins in and no obviously
@nhlanhlafuzane3535
@nhlanhlafuzane3535 2 года назад
roasted
@Amir-nv6cs
@Amir-nv6cs 3 месяца назад
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 года назад
Thank you
@Amir-nv6cs
@Amir-nv6cs 3 месяца назад
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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