Half Angle Formulas & Identities - Evaluating Trigonometric Expressions
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- เผยแพร่เมื่อ 15 ต.ค. 2024
- 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...
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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...
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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-tuto...
Full-Length Videos and Worksheets:
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Trigonometry Formula Sheet:
bit.ly/47diggI
Trigonometry Formula Sheet: bit.ly/47diggI
Next Video: th-cam.com/video/qWJ4HwJ_5LY/w-d-xo.html
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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!
Well said
Agreed
I know this is an old video but couldn't have said it better myself
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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.)
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
Two dayys!!! two whole days I have been struggling !! this video made me understand in the first half !!!!!
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!!!
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.
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MR. Organic Chemistry Tutor, once again, this is another outstanding video on Half Angles Formulas and Identities.
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.
Thank you for making math simple and actually fun. I can't describe how thankful I am for your channel! :)
Better than going to class
Really
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Just pay attention.
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this channel has single handedly saved my countless amounts of times
For those who are confused in tan(75) problem, from the original half angle formula of tan = sqrt(1-cos0)/sqrt(1+cos0), he multiplied sqrt(1-cos0) up and down to get tan0 = 1-cos0/sin0, which he used.
I was stuck for the greater part of this afternoon, until I watched this video and for some reason it just clicked. Thank you
I just wanna say, you ae a genius sir!! Wish I had you to teach me precalculus now
Thank you so much, you helped me through a lot of my math lessons
Thank you sooo much for the video, I barely understood this lesson untill watching this video.
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I have a Geometric Proof on my channel I need visual representations personally.
you explain this 100x better than my professor!!! thank you
why do you multiply by 2 on the bottom and the top
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.
YOU ARE THE ONLY REASONING IM PASSING. THANK YOU SIR
you made this so simple and easy to understand. thank you!
I love this, really helpful.
oh my god i got stuck on a question for THREE DAYS and thanks to you i can finally sleep in peace!!
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 😭
Did u fail?
@chandarasoth2219 Lmao, I forgot about this comment. I got a 60%. It was good enough to get the A in the class tho ;)
Thank you, now I can answer my activities that given by my teacher
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?
whichever is convient they all equal the same at the end
Actually, for the cos there are 3 possible identify. You use whichever is convinient to you for the given question.
Such a life saver! Thank you!!
Mr. Organic, how did we get the power reducing formula?
You need a Nobel Peace Prize for saving all our grades!!!
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?
I think ur mixing half angle and double Angel
6:20 Your laundry is done.
Hey man thanks for the video, but the last problem has an error. You used power reducing formula instead of half angle formula.
This dude rules!!😎thank youuuu!!
That was so helpful!
What about sec/cot and csc
those are just reciprocal identities
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Very helpful!!
Thank you so much
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🙏🏾
Because i am
what about the 10 or 40 degrees ?
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Thank you SO MUCH
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So...why u multiply by 2 at 7 min?
So that there won't be square root of 2 at the bottom
I have a Geometric Proof on my channel I need visual representations personally.
Thank you
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.
Well have you ever tried changing the MODE of your calculator to Degrees and Radiant
@@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?
@@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.
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
Wait did he not use the wrong formula? I thought the formula for tan(x/2) is like rad 1-cos over 1+cos
Thank you for this, I love you.
how is Sin^2theta = 1-cos^2theta/2????
Good video
At 10:15 isn’t it 1-cos(150)/1+COS(150) not sin(150)
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.
Great video, but I see you with the extra 20-30 seconds of blank screen to reach ten minutes.
I have a Geometric Proof on my channel I need visual representations personally.
Who said being impatient was a bad thing
wtf is going on
Mental Torture.
I’m saying..
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 👁👄👁
there's***
Yung mas may natututunan pa ko sayo kesa sa teacher ko.😑
I have a Geometric Proof on my channel I need visual representations personally.
what about tan^2?
how to type a root inside a root in calculator or solve a root inside a root
Thank u
how he knows all the subjects?! god mode
This was easier than I thought it would be lol thank you
I have a Geometric Proof on my channel I need visual representations personally.
What if tge given was 300
plz
in half angle find the value of sin 165
plz man common😢
I still don't get anything
The book im using to teach myself doesn't talk about this but puts this type of problem in the problem set. So annoying
same problems questions are really different then what my book has or my teacher teaches
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積化和差
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CH0DETIN0 that’s what I thought
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This isn't the only trig video you have where the calculator and you're working have completely different answers.
Are you sure you are using your calculator correctly? I got the same answers for all the problems on my calculator.
are you sure your calculator is in degrees and not radians?
ur Fucking helpful dude Thx!!!!!!!!!
thank you! this video made me less racist !!! 😇
???
no
the last one,u used double angle formula,not half-angle🥲
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Ohh
9:30
*When you're on your first awkward date*
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Thank you so much