Double Angle Identities & Formulas of Sin, Cos & Tan - Trigonometry

This trigonometry video tutorial provides a basic introduction to the double angle identities of sine, cosine, and tangent. It explains how to derive the double angle formulas from the sum and difference identities of sin, cos, and tan and how to use the double angle formulas to find the exact value of trigonometric expressions using right triangle trigonometry and SOHCAHTOA. This video contains many examples and practice problems for you to learn this material.
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...
Verifying Trig Identities With Double Angles:
• Verifying Trigonometri...
__________________________
Power Reducing Formulas:
• Simplifying Trigonomet...
Half Angle Formulas:
• Half Angle Formulas & ...
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:
/ collections

Пікірлер: 199

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor Жыл бұрын

    Trigonometry - Basic Introduction: kzread.info/dash/bejne/mWyKpaqog86bj9I.html How To Graph Trig Functions: kzread.info/dash/bejne/mIWEsaSIdsWYo7w.html Evaluating Inverse Trig Functions: kzread.info/dash/bejne/paNttsykZqrHYrg.html Verifying Trigonometric Functions: kzread.info/dash/bejne/gHlq3MWDg73OiJM.html Trigonometry Final Exam Review: kzread.info/dash/bejne/gXWnxNpthKjUfJM.html Next Video: kzread.info/dash/bejne/iZxryq-Ydta0Y7w.html

  • @jorgeleiva8374
    @jorgeleiva83743 жыл бұрын

    Omggg you explained better in 5 minutes what my teacher couldn't in 2 hours. Thank you so much!

  • @humphreybwalya4854

    @humphreybwalya4854

    2 жыл бұрын

    🤣🤣🤣

  • @joshmick

    @joshmick

    2 жыл бұрын

    Or you weren't listening and paying attention in class.....🤣🤣🤣😂😂😂

  • @magalybenavides6089

    @magalybenavides6089

    8 ай бұрын

    @@joshmick or some people just have bad teachers...

  • @user-qh6bl6dm2l

    @user-qh6bl6dm2l

    3 ай бұрын

    Damn

  • @sepantakgaming5264

    @sepantakgaming5264

    2 ай бұрын

    ​@@joshmickwell that's just me because I was getting board af😂😂😂

  • @D0ubleSwipe
    @D0ubleSwipe Жыл бұрын

    I’m so happy I found your channel. You are helping me to understand the subject better and save my grade one vid at a time!

  • @marinadamato9043
    @marinadamato90432 жыл бұрын

    the fact that I learned a whole weeks worth of lessons in 10 minutes really says something. You are the absolute best my friend!

  • @bryanmayodi613
    @bryanmayodi6133 жыл бұрын

    This channel is just a blessing 🥺

  • @lucidfangirl1030
    @lucidfangirl10303 жыл бұрын

    What to do when KZread teaches you better than the *pre-recorded* videos on your *school's* website: 🤨

  • @omniaanwar2233

    @omniaanwar2233

    3 жыл бұрын

    Same, it’s much better than our school videos 💔

  • @rainydaze4409

    @rainydaze4409

    3 жыл бұрын

    Ikr -_-

  • @southpoleelvs

    @southpoleelvs

    3 жыл бұрын

    Felt this

  • @bananaraptor7747

    @bananaraptor7747

    2 жыл бұрын

    the difference is competition

  • @ernie8709

    @ernie8709

    2 жыл бұрын

    💯 agree

  • @jn4198
    @jn41983 жыл бұрын

    I allways struggle with the Tangent equation, but the way you showed it, its so clear.

  • @bricali
    @bricali10 ай бұрын

    Youve helped me throughout the years, really wanted to thank you for posting these videos you have no idea how many lives you change

  • @georgesadler7830
    @georgesadler78302 жыл бұрын

    MR. Organic Chemistry Tutor, thank you for a fantastic video on Double Angles Identities and Formulas of Sine, Cosine and Tangent.

  • @danellespalla8697
    @danellespalla86974 жыл бұрын

    Your content is amazing! And sooo sooo sooo helpful!

  • @alster724
    @alster7242 жыл бұрын

    For cos 2x there are 3 possible formulae 1.) cos 2x = cos²x-sin²x The next two are obtained from Pythagorean Identities First cos²x = 1-sin²x cos 2x= 1-sin²x-sin²x 2.) cos 2x = 1-2sin²x And also sin²x= 1-cos²x Reverting to the first formula and substitution we get cos 2x = cos²x-(1-cos²x) We finally have 3.) cos 2x = 2cos²x-1

  • @lekanganambela5183

    @lekanganambela5183

    Жыл бұрын

    Thank you so much. ❤❤❤

  • @sethkreitzer3946
    @sethkreitzer39462 жыл бұрын

    This really helped me with double angles, thank you so much 🙏

  • @kylesislak9460
    @kylesislak9460 Жыл бұрын

    Great video! Very helpful!! Will definitly be subscribing for more help in the future! Keep teaching the way you do its amazing and better than any professor who cant ctrl+Z or use shortcut commands! Very swift and efficient!

  • @emwaleed08
    @emwaleed08 Жыл бұрын

    You're a phenomenal teacher!

  • @dayungdon8725
    @dayungdon87255 жыл бұрын

    This helped a lot! I got a quiz on this right now 😨

  • @melo.024
    @melo.0244 ай бұрын

    I had many tabs open explaining the same concept just in case I did not follow along well with the teaching, but I didnt need to choose another video... this one was it

  • @sarahchasauce935
    @sarahchasauce935 Жыл бұрын

    I love watching it get proven so swiftly thanks

  • @CKDesigner2525
    @CKDesigner2525 Жыл бұрын

    I like the cool way you used to prove the double angle identities, thank you!

  • @philasandevennessa2988
    @philasandevennessa2988 Жыл бұрын

    U explained this in a space of 3 minutes and I understood unlike my teacher who had to stand in front of me for 2 hours but no understanding ❤️

  • @morganriddiford2646
    @morganriddiford26466 жыл бұрын

    why are you better than my last 4 teachers combined ( my whole of highschool math)

  • @humphreybwalya4854

    @humphreybwalya4854

    2 жыл бұрын

    😆😂

  • @reidcipriani5673
    @reidcipriani56733 жыл бұрын

    Another great video, thanks for posting

  • @tena1486
    @tena14862 жыл бұрын

    Unbelievable. You are the best teacher I've ever watched... Thank you soooooo much ... You brought my life back ..

  • @user-bc6fh7jm2v

    @user-bc6fh7jm2v

    Жыл бұрын

    100% agree with u in this

  • @quinruizjr.8654
    @quinruizjr.8654 Жыл бұрын

    Thank you so much. Your videos really helped me a lot. It was easy to understand

  • @mingyuez5614
    @mingyuez56143 жыл бұрын

    holy-- i love u so much thanks for helping me in math TT

  • @skullrhino2564
    @skullrhino25643 жыл бұрын

    Love watching your videos

  • @noelwanda4484
    @noelwanda4484 Жыл бұрын

    Probably your are the best sir you know how to simplify things in your explanations

  • @shahdmohamed5314
    @shahdmohamed53143 жыл бұрын

    جزاك الله خيرا Thank you

  • @roofie4622
    @roofie46222 жыл бұрын

    bro i appreciate for all the things you explained in the video! You helped me to present for my presentation today! THANKYOU

  • @edelgarderika8613

    @edelgarderika8613

    2 жыл бұрын

    valo lu awai gih

  • @alyrainnee4939
    @alyrainnee49397 ай бұрын

    you're much better! direct to the point explanation ❤❤❤❤

  • @ducklund8578
    @ducklund85783 жыл бұрын

    And this, ladies and gentemen, why online education is better than classroom education

  • @divineanyanechi6928
    @divineanyanechi69282 жыл бұрын

    Wow this is a very nice explanation am so grateful bro

  • @jayeshjadhav6290
    @jayeshjadhav62903 жыл бұрын

    that was very easy to understand bruh... thanks

  • @innovativemindstutor
    @innovativemindstutor3 жыл бұрын

    Best tutor well explained

  • @t.zebary9822
    @t.zebary98222 жыл бұрын

    Thank you alot i will always remember u in my prayers

  • @MM-dj2cv
    @MM-dj2cv2 жыл бұрын

    REALLY YOU ARE THE BEST NEVER SEEN OVER THIS WORLD. IAM FROM SOMALIA THANK YOU

  • @lexluther1219
    @lexluther12192 ай бұрын

    I was so afraid I would not understand how to do this. I kept telling myself nothing is impossible! I watch your videos and feel like I can learn even the most confusing topics. My teachers are no help of showing how they got an answer- they only show the answers. Thank you for making this so simple to understand!

  • @St.Raptor
    @St.Raptor6 ай бұрын

    The fact this man has saved so many grades and helped so many people without even being in person is proof our current education system sucks worse than a random dude on KZread.

  • @likagogodze9951
    @likagogodze99512 жыл бұрын

    Thanks for helping.

  • @Nemoguzapomnit
    @Nemoguzapomnit6 жыл бұрын

  • @MewdedTatek
    @MewdedTatek2 ай бұрын

    Great teacher . thanks ❤

  • @MimmyBliss
    @MimmyBliss5 ай бұрын

    You're the best,Thank you so much 😊😊😊

  • @Bambambami
    @Bambambami6 ай бұрын

    I just want u to know that an angel is born everytime u post

  • @xzynth
    @xzynth3 жыл бұрын

    thank you so much!!

  • @aryanahm.4086
    @aryanahm.4086 Жыл бұрын

    Bro that makes so much sense thank Goodness for youtube and you cuz I was so confused 😂

  • @Uccntt
    @Uccntt5 ай бұрын

    Thx a lot I don’t know how to thank u U R amazing 💋💋

  • @buddy7638
    @buddy7638 Жыл бұрын

    This guy literally teaches better than my school right now

  • @123pEpicGuy
    @123pEpicGuy5 жыл бұрын

    Helped so much.Thnx

  • @himanshubarnwal934
    @himanshubarnwal934 Жыл бұрын

    Big help sir🙏🏻

  • @anorttn4718
    @anorttn47189 ай бұрын

    Thank you for saving me from my math tutorial class.

  • @sanopann1896
    @sanopann18968 ай бұрын

    the only way to help this guy back is to watch the ads that popping out on his video and I'm going to write this comment to all of his video for you to know you can help him back by just watching his ads

  • @patriceestacio3650
    @patriceestacio36503 жыл бұрын

    Thank you thank you thank you

  • @gabyzamora5297
    @gabyzamora52978 ай бұрын

    THANK YOU

  • @nuwangiliyanage1166
    @nuwangiliyanage11662 жыл бұрын

    thank youuuuu

  • @tiffanyodimegwu2168
    @tiffanyodimegwu21682 жыл бұрын

    ❤️❤️❤️THANK YOU

  • @shaynerushton214
    @shaynerushton2143 жыл бұрын

    Just a heads up, the commercials that come along during your videos are perhaps 50 decibels louder than you. It's quite jarring to go from a calm explanation of math to an overwhelmingly loud ad. Totally happy to support you with ad placement, but maybe turn up a tad? Other than that, i'll probably owe my degree to you when it's over.

  • @uncle_sanguine852

    @uncle_sanguine852

    2 жыл бұрын

    cope

  • @shaynerushton214

    @shaynerushton214

    2 жыл бұрын

    @@uncle_sanguine852 or provide feedback that helps. Shhhh

  • @uncle_sanguine852

    @uncle_sanguine852

    2 жыл бұрын

    @@shaynerushton214 cope

  • @katiecurran9887

    @katiecurran9887

    2 жыл бұрын

    people r dying kim

  • @cproteus
    @cproteus5 жыл бұрын

    What would be so awesome, for people like me is if you could rewind in 15 second increments. Is that a feature you can turn on? I see it in some videos, and it’s good when I go, what was that again...? My big finger goes back minutes not the thing you just said. Your videos are an inspiration, thank you So Much!

  • @meltedcow9672

    @meltedcow9672

    3 жыл бұрын

    i'm 2 years late but in case anyone is wondering, pressing the left arrow will rewind a video by 10 seconds

  • @AbdullahHaque-wk8kb
    @AbdullahHaque-wk8kb3 ай бұрын

    Your channel is like thesaurus for maths. Whenever I don't understand sth, i look that up here.

  • @user-ni1gm4fu9h
    @user-ni1gm4fu9h Жыл бұрын

    That was greaaaaaaaaat!

  • @andreim0n
    @andreim0n3 жыл бұрын

    the best

  • @joemarsuson4095
    @joemarsuson40958 ай бұрын

    thank you po

  • @antertoby5406
    @antertoby54066 жыл бұрын

    you are my best mathematics teacter

  • @matthewreddy2841

    @matthewreddy2841

    5 жыл бұрын

    Yeah you need a better English teacher my dude🤣

  • @fatimahjanjua6915
    @fatimahjanjua69152 ай бұрын

    May God bless you!

  • @alster724
    @alster7243 жыл бұрын

    The sin 2x/cos 2x is the best trick for tan 2x

  • @julietokonko4274

    @julietokonko4274

    3 жыл бұрын

    Are you a mind reader because I said that exact thing in class and my teacher gave me bonus points for finding a simpler way.

  • @humphreybwalya4854

    @humphreybwalya4854

    2 жыл бұрын

    Same in mind as well

  • @alster724

    @alster724

    2 жыл бұрын

    @@julietokonko4274 My Senior High Math Doctor taught me this trick

  • @innocentmunama.5366
    @innocentmunama.53664 ай бұрын

    You just saved me dude, 🎉... Couldn't get this in class yapa Luanar (Bunda campus)

  • @joshchukwu4351
    @joshchukwu4351 Жыл бұрын

    Bro u are a magician 😂😂😂😂😂😂I swr how did I understand this soooo fast

  • @liwiikiwii
    @liwiikiwii11 ай бұрын

    how can you determine the type of triangle that it is?

  • @latifaalrajhi3255
    @latifaalrajhi3255 Жыл бұрын

    3:54 how did you get the 4?

  • @KyoungwooBae-ni4yu
    @KyoungwooBae-ni4yu Жыл бұрын

    how do i do stuff like cos112.5 in angles?

  • @thatomofolo452
    @thatomofolo45211 ай бұрын

    🔥🔥🔥

  • @ilanmusk3503
    @ilanmusk3503 Жыл бұрын

    how do you know what type of triangle you have?

  • @ilhamo_3427

    @ilhamo_3427

    Жыл бұрын

    theres only 2 triangles, the first one has two 45 degrees and one that is 90 degrees. and the other one has 60 and 30 degrees and one 90 degrees. so in conclusion there's onyl 3 angles that you can only use when finding the exact value of any of the trigonometric ratios. you cannot write any other angle. OR.. you can just skip the special triangles and type the trigonometric ratio with its angle on the calculator and you'll get the exact value with that. one thing to keep in mind is if the answer was √a/a on the calculator you write 1/√a instead. FOR EXAMPLE; tan(30) = √3/3 *on calculator* but if you use the special triangle you will get 1/√3. hope that made sense.

  • @joshuabacchus4426
    @joshuabacchus44265 жыл бұрын

    How do u know which quadrant the angles fall in... I don't know how to tell.

  • @d8264

    @d8264

    4 жыл бұрын

    Compare angles to unit circle.

  • @Meggutz

    @Meggutz

    4 жыл бұрын

    Joshua Bacchus Pi is equal to 180 Quadrant 1 - 0 to 90 Quadrant 2 - 90 to 180 Quadrant 3 - 180 to 270 Quadrant 4 - 270 to 360

  • @adriangutierrez2229

    @adriangutierrez2229

    2 жыл бұрын

    @@Meggutz this was very useful thx

  • @brojers1603
    @brojers16032 жыл бұрын

    My only problem is finding this out right at night before the test 😩

  • @jaychoro8159
    @jaychoro81592 жыл бұрын

    Why isn't Cosine positive since its in quadrant 4?

  • @amandam992
    @amandam992 Жыл бұрын

    Love you 😘😘😘😘

  • @saintsour124
    @saintsour1242 жыл бұрын

    why even go to class if I can just watch your vids and understand in literally 1/4th the time

  • @AmberRathour366
    @AmberRathour3662 жыл бұрын

    At 9:43 Why isn't the hypotenuse negative?

  • @supremechair5812

    @supremechair5812

    2 жыл бұрын

    The hypotenuse is positive no matter which quadrant it is in.

  • @user-yt5up6gu8z
    @user-yt5up6gu8z7 ай бұрын

    Thank you, now I understand better I will sleep less stupid

  • @antonbjarnorsson4493
    @antonbjarnorsson44939 ай бұрын

    apreciated :þ

  • @Rose-hq5zk
    @Rose-hq5zk Жыл бұрын

    how tan could be positive while theta is in q4? 12:56

  • @neebinelliott7523
    @neebinelliott75234 жыл бұрын

    This is 1000x better than Virtual High school. Never do a course with their online program.

  • @marygracedellamas2577
    @marygracedellamas25772 жыл бұрын

    How to get 5,12,13 triangle??

  • @boostaddict_
    @boostaddict_2 жыл бұрын

    So these videos are great and all but one of the questions I'm having to answer, is simplifying 6 sin 5x cos 5x. Would the sin 5x be 5 sin theta cos theta, instead of 2? I have 0 ideas for how to do the cos 5x lol. Maybe 5 cos^2 theta - 1?

  • @boostaddict_

    @boostaddict_

    2 жыл бұрын

    nope, just realized it was a multiple of sin 2x lmao. It's 3 sin 10x.

  • @jhc1257
    @jhc12573 жыл бұрын

    What is cos of sin 1/5

  • @matts8791
    @matts87912 жыл бұрын

    Organic Chemistry Teacher is literally superior to my teacher.

  • @qquamau7
    @qquamau72 жыл бұрын

    someone please tell me why only the 12 was negative in the fourth quad while 5 and 12 were exempted

  • @shamsaali9629

    @shamsaali9629

    Жыл бұрын

    Yea i need to know too

  • @Gerry363c
    @Gerry363c2 жыл бұрын

    Example number 2 when finding cos2Q.. I think you had to distribute the negative which would’ve resulted to 169/169.. I may be wrong

  • @beatricechipata765

    @beatricechipata765

    2 жыл бұрын

    The 144/13 has a negative of course but it’ll be squared which will make it positive.

  • @mikengaaisha3187
    @mikengaaisha31872 жыл бұрын

    Sir so not understood where the 4 comes from

  • @tabiosmariojr.6412
    @tabiosmariojr.64129 ай бұрын

    what if the question is secant, cosecant and cotangent

  • @Rgrin1133
    @Rgrin1133 Жыл бұрын

    I'm genuinely curious what is the actual difference between a teacher doing this in class and me watching this video. Is it the intent? Is it because I searched this up purposely? Is because I get easily distracted in a classroom? I don't know why it's so easy to understand these videos and so hard when it's in class or in a book!? Does anyone have any idea why?

  • @thedoctorinfluencer
    @thedoctorinfluencer Жыл бұрын

    💯💯💯🙇‍♂️

  • @tobiasmekpee8568
    @tobiasmekpee8568 Жыл бұрын

    What if there is a question that requires the answer like if there is given (sin tita=3/5) and (cos tita - 4/5).The cos2tita =7/25...my question is how can we make reciprical to find its (sin tita=3/5)and (cos tita - 4/5)..please help me..

  • @ilhamo_3427

    @ilhamo_3427

    Жыл бұрын

    whats the question exactly?

  • @naomiparsons462
    @naomiparsons4624 ай бұрын

    Why would you want sin(2x), or cos(2x) or tan(2x)? How can you use this information? I'm learning trig purely off KZread so I don't know these things.

  • @lseansiamz4251
    @lseansiamz42512 жыл бұрын

    Anyone can you explain how 12 comes in the opp.side?

  • @thakanesechache

    @thakanesechache

    Жыл бұрын

    Because the triangle is in the 4th quadrant and so when drawing it 12 becomes opposite to the angle.. hope I was able to answer your question 😉

  • @tmk5472
    @tmk54723 жыл бұрын

    you sound like lil tecca if he was a teacher but good vid.

  • @user-mi7tx8hx8u

    @user-mi7tx8hx8u

    3 жыл бұрын

    Dead

  • @hummus9118

    @hummus9118

    3 жыл бұрын

    who is lil tecca

  • @storny1878

    @storny1878

    3 жыл бұрын

    @@hummus9118 lmfao

  • @hummus9118

    @hummus9118

    3 жыл бұрын

    @@storny1878 oafml

  • @storny1878

    @storny1878

    3 жыл бұрын

    @@hummus9118 u doin p3 in jan?

  • @mocha---
    @mocha---4 ай бұрын

    cos(2x) = 2cosx-2sinx

  • @twoeyeschannel8293
    @twoeyeschannel82935 жыл бұрын

    Where the other values of cos2π

  • @mocha---
    @mocha---4 ай бұрын

    sin(x+y) = sinxcosy + sinycosx

  • @byrone.932
    @byrone.9324 жыл бұрын

    Where did you get that 4 on 3:37

  • @ksnarayanan5281

    @ksnarayanan5281

    4 жыл бұрын

    pythagoras theorem sqrt(5^2 - 3^2) = 4

  • @SDILUYNTsiu39fnd
    @SDILUYNTsiu39fnd Жыл бұрын

    5:59. that 5 tho 😂

  • @mocha---
    @mocha---4 ай бұрын

    sin(2x) = 2sinxcosx