Timestamps below 😊😊 1) 0:32 2) 4:42 3) 7:15 4) 9:04 5) 10:47 6) 13:01 7) 15:36 8) 19:10 9) 24:12 10) 29:33 11) 32:40 12) 36:55 13) 42:46 14) 45:41 15) 49:41 16) 57:25 17) 1:02:07 18 ) 1:04:49 19) 1:07:29 20) 1:12:09 21) 1:16:11 22) 1:14:50 23) 1:20:21 24) 1:23:58 100 differential equations please❤❤

@blackpenredpen

10 ай бұрын

Thank you!!!!!!

@demon-ow4vg

10 ай бұрын

@@blackpenredpen please make a video about Digamma (x)=1

The amount of care you take that the viewer really gets it and doesn't trip over a step you are making is absolutely amazing

@blackpenredpen

10 ай бұрын

Thank you!

We just started doing trig equations in school and I realised how fun it is to play around with trig identities. Really glad I found this video, it was really fun and I became more familiar with with other trig functions than sin, cos, and tan, which are the ones we've manly had thus far.

do 200 trig equations/inequalities in one take as fast as you can 😂😂

@L17_8

10 ай бұрын

Jesus loves you ❤️ please turn to him and repent before it's too late. The end times described in the Bible are already happening in the world.

@NoahMartin-ii1wz

10 ай бұрын

make it logarithmic equations/inequalities LOLL@@L17_8

@user-fh2rw9zh8g

9 ай бұрын

I wish he doooesss I'm currently self studying trigonometry and this would be so helpful

@robertcampomizzi7988

8 ай бұрын

Listen to the very last line of "Alphabet Aerobics" by Blackalicious and you'll know why I think you should.

@robertcampomizzi7988

8 ай бұрын

​​@@L17_8if Jesus was a carpenter then he used trigonometry. Why didn't they write that trig down in the Bible? I'm just asking questions.

Could someone please help me do the time stamps because it will really help all the viewers to navigate the video? I will also credit your name in the description. Thank you.

@shishirjha4219

10 ай бұрын

Ok then you have to wait for an hour and a half and I don't need any credits

@thatomofolo452

10 ай бұрын

Chain effect 👍👍😁

@L17_8

10 ай бұрын

Jesus loves you ❤️ please turn to him and repent before it's too late. The end times described in the Bible are already happening in the world.

@shishirjha4219

10 ай бұрын

@@L17_8 bro is on drugs

@thenew3dworldfan

10 ай бұрын

I have a question. Suppose a(n) is the integer sequence A007916. Does the series (1 to inf) 1/ (A007916(n))^2 conv or div?

Please next videos:24 indefinite integrals and 24 definite integrals (High level problems) And happy teachers day

42:20 still watching, doing the questions and watching your explanation if I get stuck. Thank you for all your great videos!

Hi backpenredpen!!! You always keep me motivated to record math videos!!! Sometimes I ask myself why should I continue making math videos on youtube, but then I watch one of your videos and they inspire myself to do it!!!🤗🤗🤗

My interest in mathematics has grown so much because of you. You make so good content. Huge fan of your work. Thank you so much.

Many THANKS for all the time you put into your videos. I find you inspirational 😁

you are the goat, i was struggling with this topic then you popped into my recommended list and now im decent at it, thank you

@blackpenredpen

9 ай бұрын

Glad to hear 😃

Hello!! I've just finished watching 50 integrals video, and I'm so happy to see this as I'm struggling with trigonometry!

I'm taking AP Precalculus this year and so far its not bad. So far its just been obtaining a deeper understanding of functions and what values can be obtained from the equation of a function.

Finished the video now, took some breaks in between. Was able to get most questions on my own but it was really fun to see how our ways of solving them differed. Especially on questions 16 and 17 I overcomplicated it a lot but I did end up at the right answer. Tank you so much!

@blackpenredpen

9 ай бұрын

Glad to hear. Thank you, too!

42:40 I am with you brother. I am doing my best on the problems and you're filling in the gaps as I work on this over the course of a few days. Your videos have been valuable to my efforts to strengthen my math skills. Thank you very very very much BpRp!

@blackpenredpen

4 ай бұрын

Glad to hear!! Keep up your good work and best wishes to you!

Thank you so much for explaining well, I was assigned this today and was so confused and SCARED haha. Watched over 2 of your problems and I'm starting to understand!

My Lord!!! Thank you very much!!! You had simplified my life!! I’m back in school after many years, and I was struggling into I found your video!!! Where did you got the T-shirt and the table you have on the wall??? I appreciate your time, dedication and advice!!!

42:40 yes, doing it with you. I've also done the 100 derivatives twice now, and the 100 algebra twice, too... Great practice!

42:40 yes i am following along solving all the questions, they're pretty easy, excited for the upcoming questions

Thanks BpRp you're one of the great maths teacher 😎🖤❤

I definitely loved your math questions ❤😮

Happy Teacher's day Sir. Today 5th September every year in India we celebrate Teacher's Day to so our love toward the teachers. Your lecture are just brilliant i following your channel since 2020.thak you sir for everything.

Thanks prof i really learned a bunch of things

I love your videos, keep up the amazing content!!! Btw, I'm in Precalculus learning Trig Identities!

This video was VERY helpful, thank you!!

Thank you so much for this amazing video

Awesome job!

Hey man you are really an inspiration for me.your passion keeps me motivated ❤

Thank you so much. This will help a lot in my calculus studies. 🙂

@blackpenredpen

8 ай бұрын

Glad to hear that!

This is terrific Steve

i am a 12th grade student in Turkey and these questions are way easy than I expected.

Thanks professor ! Please also make video on analytical geometry

1:03:31 Easy, cancel cos from both sides

I dont comment often but i felt that i should mention how helpful and entertaining with me learning calculus and other math. Also i loved this video

@blackpenredpen

10 ай бұрын

Thank you!

@Dmoney_411

8 ай бұрын

​@@blackpenredpenHey I am taking AP precalculus, we are over hallways through unit 2 and it doesn't seem too bad. any suggestions on how to master my algebra (especially algebra 2) skills that are lacking from having those classes over zoom. Thank you 🙏

for q6 an alternative solution would be to take the -1 as being equal to -sin^2(x)-cos^2(x) (multiplying original identity by -1) and substituting, then simplifying the equation down to sin^2(x) really helpful video, i love all your tutorials

I watch these while eating because I dont know what Video to watch

Master of it ❤

You deserve more views man.

Love you sir ❤❤❤❤

you're amazing thanks

Happy teacher's day sir🎉

thank u for this. i took ap calculus bc and skipped calc 1 and 2, and im scared of trig identities coming up in chapter 12 for calculus 3 !! big fan

Intro - 00:00 1 - 00:51 - sinx+cotxcosx 2 - 04:40 - (secx-cosx)/sinx 3 - 07:16 - cotx/(cscx-sinx) 4 - 09:00 - (1+2cosx)/(2+secx) 5 - 10:45 - 1/(1-sinx)+1/(1+sinx) 6 - 13:00 - (2+cot²x)/csc²x-1 7 - 15:36 - tan(x+π/4) 8 - 19:11 - cos(3x) 9 - 24:09 - cos(4x) 10 - 29:32 - sec(sin^-1x) 11 - 32:42 - cos(2tan^-1x) 12 - 36:56 - tan(2sin^-1x) 13 - 42:44 - csc²x+sec²x 14 - 45:41 - cosx cos(2x) 15 - 49:38 - sin⁴x 16 - 57:22 - sin⁴x-cos⁴x 17 - 1:02:04 - tanx+tany 18 - 1:04:47 - 2tanx/(1+tan²x) 19 - 1:07:25 - 1/(secx-1)+1/(secx+1) 20 - 1:12:08 - (sinx+tanx)/(1+cos(-x)) 21 - 1:16:14 - cos²x-sin⁴x sec²x 22 - 1:14:50 - (sinx+cosx)² 23 - 1:20:18 - sinx/(1-cotx)+cosx/(1+tanx) 24 - 1:23:57 - sec²(x/2)

@blackpenredpen

10 ай бұрын

Thank you so much!

I like this a lot. Thank you my friend.

Happy Teacher's Day Love from India ❤ 🇮🇳

Love you sir....❤️❤️❤️ From india We aren't studying Trigonometry.. But i understood all you taught.... On the 14th question i think we can simplify it to Cos(x)Cos(2x)=2Cos³(x)-Cos(x) Its heartbreaking to see the expression being not factorised... 🤣🤣 Any way.. Big fan sir You are wonderful...🔥🔥❤️❤️ (And Happy teacher's day also❤️)

7 can be simplified to tan(2x)+sec(2x) and 13 can be 4sec^2(2x)

at 14:37 sir you can also write 2sin^2(x) as sin^2(x) + sin^2(x) + cos^2(x) - 1=sin^2(x)

Do more integral battles between elementary and non-elementary ones! The one you did 4 years ago wasn’t enough for me.

49:24 "If I did my math right" - If this man makes mistakes in addition, I am allergic to numbers

13 is stunning

24 Trig Problems done in *one* take, that's gotta be BPRP, aka 'The Beast'. Identity mathematics presented the way we spoilt brats have grown used to. Don't take this man for granted, though!

@L17_8

10 ай бұрын

Jesus loves you ❤️ please turn to him and repent before it's too late. The end times described in the Bible are already happening in the world.

hey whats that black identity board you have hanging beside the whiteboard? is it available online?

What is that reference board you are using and where can I get it? Great video!

Do inverse trig identities next!

these were very easy as I am in high school

42:39 I could watch a movie of these

@blackpenredpen

8 ай бұрын

Thanks!!!

Plz solve Integral of log base 2(x*(sin2ex))

I ran into an interesting trig problem on my no calculator pre-calc/alg 2 test and was wondering how to do it since I only had solutions and all my teachers said there had to be a trick they didn’t know. The problem was If sin(x)+cos(x)=1/3, what does ((sin(x))^5)+((cos(x))^5)=

@adamhurt6140

10 ай бұрын

what was the answer they gave you?

@carterbagvitch5964

10 ай бұрын

@@adamhurt6140 I figured it out. The answer was 344, but thats cause they asked for the answer in fractional form (k/w), and then the answer is k+w. thats obviously not a critical step, so I didnt include it. If you want to know, u take pascals triangle and expand it out with sin(x) and cos(x), isolate sin^5(x) +cos^5(x), then factor and break down the rest of it using trig identities and the given. Also have to realize that since sin(x)+cos(x)=1/3, cos(x)*sin(x)=-4/9. thats also key

nice!

1:06 if u look at the captions.. cosx over se-

Do a 100 question One Shot version and put in 100 question playlist

Could you please make a video on jee advanced maths section

I have a question. Suppose a(n) is the integer sequence A007916. Does the series (1 to inf) 1/ (A007916(n))^2 conv or div?

His smile just makes me wanna study more

I lose sleep over these videos, even though I may or may not know the content😅

I would love it if you’d do some extra identities for the parabolic version of trig fies. So cosp and sinp identities! Why? Cause they behave somewhat different than the normal sin/cos and hyperbolic sinh/cosh versions!

Amazing

I am doing to do your test to repeat for my school test... i will tell you how it will go

I pick up a lot of small details in these longer videos!

@blackpenredpen

2 ай бұрын

Glad to help!

Hai sir can you discuss telescopic sums with alternating positive negative sums

Cool thing to note: 8cos⁴(x) - 8cos²(x) + 1 = 8sin⁴(x) - 8sin²(x) + 1

can you do inequalities please

Idk why I always feel satisfied when he erased the whiteboard 😂

I love you man

My take: 1. sinx +cotxcosx = sinx +(cos^2x/sinx) = (sin^2x + cos^2x/sinx) = 1/sinx = cscx 2. (1-cos^2x)/sinxcosx = tanx 3.cosx/sinx(1/sinx - sinx) = cosx/1-sin^2x = secx 4:1+2cosx/2+secx = 1+2cosx/2+1/cosx = cosx+2cos^2x/2cosx+1 =cosx(2cosx+1)/2cosx+1 = cosx 5:1+sinx/(1-sinx)(1+sinx) + 1-sinx/(1-sinx)(1+sinx) = 2/cos^2x = 2sec^2x

18:55

Is ex. 2 an identity? Because in the original fraction all values equal to kxpi are not in the domain.

Bro you are awesome I love you ❤❤ I am from india and I am like maths

@blackpenredpen

10 ай бұрын

Thank you!

@vivekgupT______________

10 ай бұрын

Bro can help me a little bit

Calc 2 savior

Where do I find the identities board?

Hi bprp can u please do a video to show us how to calculate cos(x+y+z)?

@Apollorion

10 ай бұрын

First you add x, y and z together, then you calculate the cosine of that sum. Or is that not what you mean? edit: e.g. do you want a formula that distributes the x, y and z into their 'own' trigonometric functions? If so then just apply the sum formula's for the cosine and sine i.e. sin(a+b)=sin(a)cos(b)+sin(b)cos(a) cos(a+b)=cos(a)cos(b)-sin(a)sin(b) and of course, begin with splitting one of the x,y and z terms off from the other two, and after that split the sine and cosine that other pair (and that's why I also mentioned the sum formula for the sine).

plz teach mathematicalinduction

26:34 Bro acts like he just made the height of 2 tall buildings approach 0m in 2001

Do all the 24 identities you did but hyperbolic trig instead

Good teacher watching from india guys reply where are you watching from?

@carultch

5 ай бұрын

I like your Nepal flag.

I now prefer to stay home and do calculus on my weekends

26:20 It is unbelievable that even the GOAT of Mathematics, who alone is strong enough to beat Lord Wolfram|Alpha, is lagging!!!!!!!!!!! THIS IS ALARMING FOR THE DIMENSION OF MATHEMATICS!!!!!!!!!!!!

Ok time to do some maths

Please do 100 differential equations I need them for my exams😭😭

@amitlanis3104

10 ай бұрын

yesss that would be super helpful😁

@L17_8

10 ай бұрын

Jesus loves you ❤️ please turn to him and repent before it's too late. The end times described in the Bible are already happening in the world.

@parv840

10 ай бұрын

12 th m h kya bhai

This is driving me crazy i wanna cry so bad

@joaquinnunez7272

5 ай бұрын

you can do it my friend

Just for geeks like me watching this video... Here's a stupid math idea I created to calculate solutions for cos(x) returning bigger numbers than 1 just calculating them in your head: There's multiple solutions that can be calculated in your head, but this is a puzzle for you guys... (I'm an a*hole ;P) Lets take 17... its odd number. divide by 2 and round it down&up to get 8&9 => a=17; b=8; c=9: cos(17)=cos(ln(17+12sqrt(2))i) a: 17 b: factors made by 2*2*2 so we can get 2 out of sqrt leaving just 2 inside c: factors made by 3*3 so we can get 3 out of sqrt leving just 1 insede d: left out of sqrt multiplied 2*3=6 e: left inside sqrt multiplied 1*2=2 cos(a)=cos(ln(a+2d*sqrt(e))i) Lets take 100... its even number. add and subtract 1 to get 99&101 => a=100 b=99 c=101 cos(100)=cos(ln(100+3sqrt(1111))i) a: 100 b: factors made by 3*3*11 so we can get 3 out of sqrt leaving just 3 inside c: factors 101 e: left out of sqrt mutiplied 3 d: left inside sqrt multiplied 11*101=1111 cos(a)=cos(ln(a+b*sqrt(d))i)

Challenge:- solve 100 ordinary differential equations in one go,,,,next 100 partial differential equations in one go

broo ❤❤

I didn't skip a whole 10 min ad 😂😂 hope this counts for you, because i don't have money to send

😂Imagine, sir, that you unplug the camera lol

I don't understand why he puts cos3x = (cosx)(cos2x)..This seems wrong, because for example, cos 60 = o.5, but cos 20 is .9397 and cos 40 is .766, and multiplying these these gives an answer of of .7198. which is nowhere near .5 ! Can someone please explain? I Thanks

@AttyPatty3

10 ай бұрын

Hey David! He didn't put cos 3x = (cosx) (cos2x) instead what he did was simply write the 3x as 2x + x. cos(3x) = cos(2x + x)

@davidthomas6043

10 ай бұрын

Thanks for answering. I now see that what he wrote was (cos x)(cos2x- minus (sin x)(sin 2x). Silly me !! @@AttyPatty3

@davidthomas6043

10 ай бұрын

Further to mt previous reply, can you please tell me if there is any way available to derive the formula cos (A + B) = cos A.cos B - sin A.sin B ?@@AttyPatty3

art

I have an equation who solves it ‏‪13:19‬‏

7:30 lemme just take a look at the camera (nope he is definitely taking a look at the solution jk)