Half Angle Formulas & Identities - Evaluating Trigonometric Expressions

  Рет қаралды 363,081

The Organic Chemistry Tutor

The Organic Chemistry Tutor

6 жыл бұрын

This trigonometry video tutorial provides a basic introduction into half angle identities. It explains how to find the exact value of a trigonometric expression using the half angle formulas of sine, cosine, and tangent. This tutorial contains a few examples and practice problems.
Bearing Problems and Navigation:
• Bearing Problems & Nav...
Two Triangle Problems - More Examples:
• Trigonometry - How To ...
Verifying Trigonometric Identities:
• Verifying Trigonometri...
Sum and Difference Identities:
• Sum and Difference Ide...
Double Angle Identities:
• Double Angle Identitie...
Verifying Trig Identities With Double Angles:
• Verifying Trigonometri...
__________________________
Power Reducing Formulas:
• Simplifying Trigonomet...
Verifying Trig Identities Using Half Angles:
• Verifying Trigonometri...
Inverse Trig Functions With Double Angles:
• Inverse Trig Functions...
Right Triangle Trig With Half Angle Identities:
• Right Triangle Trigono...
Product To Sum + Sum to Product Formulas:
• Product To Sum Identit...
______________________________
Solving Trig Equations - Finding All Solutions:
• Solving Trigonometric ...
Solving Trig Equations With Multiple Angles:
• How To Solve Trigonome...
Solving Trig Equations With Double Angles:
• Solving Trigonometric ...
Trigonometry Final Exam Review:
• Trigonometry Final Exa...
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
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Пікірлер: 131
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor Жыл бұрын
Next Video: kzfaq.info/get/bejne/p716Z6uor8WZfI0.html Final Exams and Video Playlists: www.video-tutor.net/
@kagamer21
@kagamer21 3 жыл бұрын
Hey man, you're one of my great teachers and I appreciate you. In this postmodern world we live in we do not necessarily need to meet our mentors face to face anymore but they are nonetheless influential over our success. Your vids taught me stoichiometry through gas laws and into kinetics, now you're teaching me half angle identities- and somehow I always understand the way you put it better than other sources. Thank you again, I couldn't do this without you. Be well mang!
@tgmmusic7847
@tgmmusic7847 3 жыл бұрын
Well said
@alankrit3795
@alankrit3795 Жыл бұрын
Agreed
@hunterpearce9050
@hunterpearce9050 Жыл бұрын
I know this is an old video but couldn't have said it better myself
@alejandrosantos1879
@alejandrosantos1879 2 жыл бұрын
This guy has helped me through physics, chemistry, college algebra, even through pre calculus you to me are the greatest professor I’ve never had, unlimited access through my journey of studies
@marcelkillian8581
@marcelkillian8581 3 жыл бұрын
Two dayys!!! two whole days I have been struggling !! this video made me understand in the first half !!!!!
@shukrimohamed9267
@shukrimohamed9267 3 жыл бұрын
I thought Trig wasn't for me after you explained you're way better than my university prof who has a doctorate. thank you
@citrus4419
@citrus4419 2 жыл бұрын
these teacher's titles are truly rubbish. Organic chem tutor is pulling me through my whole schooling
@onlylonelystars9268
@onlylonelystars9268 3 жыл бұрын
My math course is absolute garbage, but your videos answer my questions far better than I ever thought. I'm going to be going to your channel first for the rest of this math course, and I have a LOT of catch-up to do... thank you for teaching me better than anyone else. By the way: you're 2000 times better than Khan Academy, and your voice is very soothing. (I hope that doesn't sound weird; it's just very calming, and when math is stressful, I need that.)
@officersoulknight6321
@officersoulknight6321 Жыл бұрын
my PreCalc teach is self aware that math is stressful and purposely uses fear to get people to work harder like that doesn't make absolutely everyone fucking hate him
@swolescientist7521
@swolescientist7521 3 жыл бұрын
My teacher shows but doesn’t tell if you know what I mean. He will do the problem but not explain why he did the steps how he did. This video cleared SO MUCH up. Thanks!!!
@LuciusSicarius
@LuciusSicarius 2 жыл бұрын
OMG, TY! I was so lost at 4:14 because all the other explanations and videos I saw always just glossed over the simplifying part and I had no idea what they were doing.
@6esss816
@6esss816 4 жыл бұрын
Better than going to class
@missile4337
@missile4337 3 жыл бұрын
Really
@SpAce-jk8ux
@SpAce-jk8ux 3 жыл бұрын
Couldn't I agree more
@akhil73944
@akhil73944 11 ай бұрын
Just pay attention.
@georgesadler7830
@georgesadler7830 2 жыл бұрын
MR. Organic Chemistry Tutor, once again, this is another outstanding video on Half Angles Formulas and Identities.
@user-fd2zr1yg5r
@user-fd2zr1yg5r 7 ай бұрын
I've been cramming for my Trig Exam and this channel has been a game changer. Saving lives out here
@zachyrungaray9723
@zachyrungaray9723 3 жыл бұрын
you made this so simple and easy to understand. thank you!
@soykate986
@soykate986 Жыл бұрын
You are saving me rn. My teacher is doing nothing, and you are basicaly doing everything. Thanks a lot!!!
@josepholuwafemi6195
@josepholuwafemi6195 3 жыл бұрын
I love this, really helpful.
@skle2300
@skle2300 3 жыл бұрын
I was stuck for the greater part of this afternoon, until I watched this video and for some reason it just clicked. Thank you
@beatitudeproduction
@beatitudeproduction 2 жыл бұрын
I just wanna say, you ae a genius sir!! Wish I had you to teach me precalculus now
@khalidjastaniah1854
@khalidjastaniah1854 2 ай бұрын
this channel has single handedly saved my countless amounts of times
@citrus4419
@citrus4419 2 жыл бұрын
Thank you for making math simple and actually fun. I can't describe how thankful I am for your channel! :)
@MojdaAlMajid
@MojdaAlMajid 5 жыл бұрын
That was so helpful!
@kieranhummer8518
@kieranhummer8518 2 жыл бұрын
why do you multiply by 2 on the bottom and the top
@plumintwins7818
@plumintwins7818 5 ай бұрын
I think it's just to get rid of the complex fraction in the root (the fraction in the fraction), just to simplify it even more.
@jaredhurst475
@jaredhurst475 Жыл бұрын
you explain this 100x better than my professor!!! thank you
@autdummy
@autdummy 3 жыл бұрын
Such a life saver! Thank you!!
@anunintelligiblerambling6747
@anunintelligiblerambling6747 7 ай бұрын
Thank you so much. I've been making my way through all of your precalc videos and I've been able to teach myself. I plan to become a member and teach myself up through calc 3, so I dont have to take them at University. Thanks again.
@robyali2456
@robyali2456 2 ай бұрын
Thank you so much, you helped me through a lot of my math lessons
@bbridgett
@bbridgett 4 жыл бұрын
Very helpful!!
@bronzecapricorn9641
@bronzecapricorn9641 3 ай бұрын
Thank you sooo much for the video, I barely understood this lesson untill watching this video.
@chamindaniroshana1218
@chamindaniroshana1218 2 жыл бұрын
thank you very much...you made my day!
@laurenceb5516
@laurenceb5516 3 жыл бұрын
6:20 Your laundry is done.
@wuyiwalters549
@wuyiwalters549 2 жыл бұрын
YOU ARE THE ONLY REASONING IM PASSING. THANK YOU SIR
@mixkalihim909
@mixkalihim909 3 жыл бұрын
Thank you so much!!!
@juliamoini8752
@juliamoini8752 4 жыл бұрын
Thank you SO MUCH
@ayaya621
@ayaya621 2 жыл бұрын
Thank you, now I can answer my activities that given by my teacher
@diego03c84
@diego03c84 9 ай бұрын
This dude rules!!😎thank youuuu!!
@isabellawilliams52
@isabellawilliams52 2 жыл бұрын
THANK YOU SO MUCH!
@noura3431
@noura3431 2 жыл бұрын
Thank you so much
@kavishkartha5450
@kavishkartha5450 3 жыл бұрын
organic chemistry tutor is probably more of a goat than lebron james, he teaches chemistry and math, two of the hardest subjects in school, what a guy 👏
@jordangertino1867
@jordangertino1867 3 жыл бұрын
I have a Geometric Proof on my channel I need visual representations personally.
@SlouchingInc
@SlouchingInc 3 жыл бұрын
I love your videos
@mattbenjaminpepito2823
@mattbenjaminpepito2823 2 жыл бұрын
oh my god i got stuck on a question for THREE DAYS and thanks to you i can finally sleep in peace!!
@HM-nb3rf
@HM-nb3rf 5 жыл бұрын
Good video
@rubyrubyneyruby
@rubyrubyneyruby 2 жыл бұрын
افضل معلمم وربيي يسعد مساك
@rachelle6403
@rachelle6403 2 жыл бұрын
Thank you for this, I love you.
@sportingdirector1
@sportingdirector1 Жыл бұрын
You need a Nobel Peace Prize for saving all our grades!!!
@krishnakrishna-hk7zr
@krishnakrishna-hk7zr 4 жыл бұрын
Thank u
@MysticElitePro
@MysticElitePro 5 жыл бұрын
What about sec/cot and csc
@jcmick8430
@jcmick8430 4 жыл бұрын
those are just reciprocal identities
@lu-gc7gm
@lu-gc7gm 3 жыл бұрын
you legend
@ronabayless2372
@ronabayless2372 Жыл бұрын
Mr. Organic, how did we get the power reducing formula?
@edwinmatute762
@edwinmatute762 Ай бұрын
God bless you man
@Chrisymcmb
@Chrisymcmb 2 жыл бұрын
The only part that I am a bit confused about is at the start of the given equation stated to be true. For example: sin^2(theta) = (1-cos(2theta))/2. I thought sin^2(theta) = 1-cos^2(theta). This means that (1-cos(2theta))/2 = 1-cos^2(theta) right?
@turkeychild2795
@turkeychild2795 2 жыл бұрын
I think ur mixing half angle and double Angel
@maxvo2792
@maxvo2792 Жыл бұрын
Hello there, great videos! I do have a question. For the half angle formulas for tangent, there are 3 of them. When do you use which one?
@literallydecaffeinated2567
@literallydecaffeinated2567 11 ай бұрын
whichever is convient they all equal the same at the end
@user-xl1ig1bn6i
@user-xl1ig1bn6i 7 ай бұрын
Actually, for the cos there are 3 possible identify. You use whichever is convinient to you for the given question.
@azimoffsw344
@azimoffsw344 3 жыл бұрын
what about the 10 or 40 degrees ?
@graceMaximus
@graceMaximus 3 ай бұрын
Awghhhh, watching this 10 minutes before my exam and 2x speed... I didn't know how to solve these before at all. TY but also I'm SO going to fail 😭
@chandarasoth2219
@chandarasoth2219 2 ай бұрын
Did u fail?
@graceMaximus
@graceMaximus 2 ай бұрын
@chandarasoth2219 Lmao, I forgot about this comment. I got a 60%. It was good enough to get the A in the class tho ;)
@monteznewsome1728
@monteznewsome1728 3 жыл бұрын
what about tan^2?
@topten2077
@topten2077 11 ай бұрын
Hey man thanks for the video, but the last problem has an error. You used power reducing formula instead of half angle formula.
@lilzenwi6714
@lilzenwi6714 3 жыл бұрын
Who said being impatient was a bad thing
@ntokozomokwane1329
@ntokozomokwane1329 2 жыл бұрын
Greetings everyone. Sir please if you can explain this to me . Why is Sin(A-360) give us Positive Sin A instead of -Sin A. Is Sin (A-360) not the same as Sin(360-A)... anyone who knows, please help out🙏🏾
@showgada9469
@showgada9469 Жыл бұрын
Because i am
@lekanganambela5183
@lekanganambela5183 Жыл бұрын
how is Sin^2theta = 1-cos^2theta/2????
@chrisprilloisebola
@chrisprilloisebola 5 жыл бұрын
So...why u multiply by 2 at 7 min?
@rainbowbloom575
@rainbowbloom575 4 жыл бұрын
So that there won't be square root of 2 at the bottom
@jordangertino1867
@jordangertino1867 3 жыл бұрын
I have a Geometric Proof on my channel I need visual representations personally.
@handsanitizer1160
@handsanitizer1160 6 жыл бұрын
At 10:15 isn’t it 1-cos(150)/1+COS(150) not sin(150)
@rajendramisir3530
@rajendramisir3530 5 жыл бұрын
At the beginning of this video, JG derived the half angle formula for tan. In addition, he wrote two other forms of the half angle formula for tan.
@ATRE1DESS
@ATRE1DESS 3 жыл бұрын
Great video, but I see you with the extra 20-30 seconds of blank screen to reach ten minutes.
@jordangertino1867
@jordangertino1867 3 жыл бұрын
I have a Geometric Proof on my channel I need visual representations personally.
@jamesjames5074
@jamesjames5074 3 жыл бұрын
This was easier than I thought it would be lol thank you
@jordangertino1867
@jordangertino1867 3 жыл бұрын
I have a Geometric Proof on my channel I need visual representations personally.
@martianman8948
@martianman8948 Жыл бұрын
how he knows all the subjects?! god mode
@irving9509
@irving9509 2 жыл бұрын
I literally go to class--come home and watch all your youtube videos to understand it in a different light than what my Professor teaches. Sometimes I feel they lecture as if they're teaching it to themselves in their own perspective without realizing theirs a bunch of students in front of them looking like 👁👄👁
@irving9509
@irving9509 2 жыл бұрын
there's***
@ivory6935
@ivory6935 4 жыл бұрын
What if tge given was 300
@scienceseeker8377
@scienceseeker8377 6 жыл бұрын
wtf is going on
@KiyanPocket
@KiyanPocket 5 жыл бұрын
Mental Torture.
@ripkaz6083
@ripkaz6083 5 жыл бұрын
I’m saying..
@husamzain6127
@husamzain6127 6 жыл бұрын
ur Fucking helpful dude Thx!!!!!!!!!
@kimyungfinite1396
@kimyungfinite1396 3 жыл бұрын
Yung mas may natututunan pa ko sayo kesa sa teacher ko.😑
@jordangertino1867
@jordangertino1867 3 жыл бұрын
I have a Geometric Proof on my channel I need visual representations personally.
@sanopann1896
@sanopann1896 6 ай бұрын
how to type a root inside a root in calculator or solve a root inside a root
@whatthequack8596
@whatthequack8596 5 жыл бұрын
Hola
@whatthequack8596
@whatthequack8596 5 жыл бұрын
CH0DETIN0 🦆🦆🦆🦆🤔🤔👳🏿‍♂️👳🏿‍♂️👳🏿‍♂️👳🏿‍♂️👳🏿‍♂️👳🏿‍♂️
@whatthequack8596
@whatthequack8596 5 жыл бұрын
CH0DETIN0 that’s what I thought
@whatthequack8596
@whatthequack8596 5 жыл бұрын
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@whatthequack8596
@whatthequack8596 5 жыл бұрын
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@whatthequack8596
@whatthequack8596 5 жыл бұрын
CH0DETIN0 👯‍♀️👯‍♀️👯‍♀️🤳🏿💇🏿‍♂️🧞‍♂️🧞‍♂️👅👅👅👅👌👌🍺🍺🍺 🏁🏁🏁🍩🍩XDDDD
@sallywinston5305
@sallywinston5305 3 жыл бұрын
I think the tan might be wrong cause I tried to confirm it by putting in tan 75 and I got -0.4207.... but when I put in 2+ root 3, I get 3.7320... That's my only issue though. I still love and appreciate the video cause I learned so much.
@worryingblock1629
@worryingblock1629 3 жыл бұрын
Well have you ever tried changing the MODE of your calculator to Degrees and Radiant
@sallywinston5305
@sallywinston5305 3 жыл бұрын
@@worryingblock1629 See now I would agree with you but it's in the same mode and I got the same answers for the sin and cos ( I think he did cos) but not the tan. So, did that question just go into an entirely different mode then?
@hyphen8d725
@hyphen8d725 3 жыл бұрын
@@sallywinston5305 The modes are based on the input measurement, so degrees for 75 degrees, and radians for 75 radians. Both of those produce wildly different outputs.
@worryingblock1629
@worryingblock1629 3 жыл бұрын
Try putting in your TI-84 Mode degree tan 75 and if that is not the right change it to radiant and type tan 75 and one of those should give you the right answer which is 2+root 3
@swolescientist7521
@swolescientist7521 3 жыл бұрын
Wait did he not use the wrong formula? I thought the formula for tan(x/2) is like rad 1-cos over 1+cos
@justinliebenberg2321
@justinliebenberg2321 4 жыл бұрын
This isn't the only trig video you have where the calculator and you're working have completely different answers.
@HappyGardenOfLife
@HappyGardenOfLife 3 жыл бұрын
Are you sure you are using your calculator correctly? I got the same answers for all the problems on my calculator.
@morbus5726
@morbus5726 2 жыл бұрын
are you sure your calculator is in degrees and not radians?
@adnaxasan2335
@adnaxasan2335 Жыл бұрын
plz in half angle find the value of sin 165 plz man common😢
@xaviertr6240
@xaviertr6240 4 ай бұрын
I still don't get anything
@jayvieeeeeee6189
@jayvieeeeeee6189 2 жыл бұрын
sige lang self STEM pa
@ryanchiang9587
@ryanchiang9587 8 ай бұрын
和角公式,倍角公式 和差化積 積化和差
@callous21
@callous21 Жыл бұрын
The book im using to teach myself doesn't talk about this but puts this type of problem in the problem set. So annoying
@onetime247
@onetime247 9 ай бұрын
same problems questions are really different then what my book has or my teacher teaches
@ch405wrld
@ch405wrld 2 жыл бұрын
thank you! this video made me less racist !!! 😇
@jbags4195
@jbags4195 2 жыл бұрын
???
@good-tn9sr
@good-tn9sr 3 жыл бұрын
no
@adinaburumbaeva6009
@adinaburumbaeva6009 Жыл бұрын
the last one,u used double angle formula,not half-angle🥲
@astely3000
@astely3000 3 жыл бұрын
9:30 *When you're on your first awkward date*
@jassimmohammed6838
@jassimmohammed6838 6 ай бұрын
You helped my girlfriend ❤️🫡
@V1gilan7e
@V1gilan7e 3 жыл бұрын
Thank you so much
@mars4040
@mars4040 3 жыл бұрын
Thank you so much
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