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...
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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-tutor.net/
Full-Length Videos and Worksheets:
/ collections
Пікірлер: 199
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
Omggg you explained better in 5 minutes what my teacher couldn't in 2 hours. Thank you so much!
@humphreybwalya4854
2 жыл бұрын
🤣🤣🤣
@joshmick
2 жыл бұрын
Or you weren't listening and paying attention in class.....🤣🤣🤣😂😂😂
@magalybenavides6089
8 ай бұрын
@@joshmick or some people just have bad teachers...
@user-qh6bl6dm2l
3 ай бұрын
Damn
@sepantakgaming5264
2 ай бұрын
@@joshmickwell that's just me because I was getting board af😂😂😂
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!
the fact that I learned a whole weeks worth of lessons in 10 minutes really says something. You are the absolute best my friend!
This channel is just a blessing 🥺
What to do when KZread teaches you better than the *pre-recorded* videos on your *school's* website: 🤨
@omniaanwar2233
3 жыл бұрын
Same, it’s much better than our school videos 💔
@rainydaze4409
3 жыл бұрын
Ikr -_-
@southpoleelvs
3 жыл бұрын
Felt this
@bananaraptor7747
2 жыл бұрын
the difference is competition
@ernie8709
2 жыл бұрын
💯 agree
I allways struggle with the Tangent equation, but the way you showed it, its so clear.
Youve helped me throughout the years, really wanted to thank you for posting these videos you have no idea how many lives you change
MR. Organic Chemistry Tutor, thank you for a fantastic video on Double Angles Identities and Formulas of Sine, Cosine and Tangent.
Your content is amazing! And sooo sooo sooo helpful!
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
Жыл бұрын
Thank you so much. ❤❤❤
This really helped me with double angles, thank you so much 🙏
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!
You're a phenomenal teacher!
This helped a lot! I got a quiz on this right now 😨
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
I love watching it get proven so swiftly thanks
I like the cool way you used to prove the double angle identities, thank you!
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 ❤️
why are you better than my last 4 teachers combined ( my whole of highschool math)
@humphreybwalya4854
2 жыл бұрын
😆😂
Another great video, thanks for posting
Unbelievable. You are the best teacher I've ever watched... Thank you soooooo much ... You brought my life back ..
@user-bc6fh7jm2v
Жыл бұрын
100% agree with u in this
Thank you so much. Your videos really helped me a lot. It was easy to understand
holy-- i love u so much thanks for helping me in math TT
Love watching your videos
Probably your are the best sir you know how to simplify things in your explanations
جزاك الله خيرا Thank you
bro i appreciate for all the things you explained in the video! You helped me to present for my presentation today! THANKYOU
@edelgarderika8613
2 жыл бұрын
valo lu awai gih
you're much better! direct to the point explanation ❤❤❤❤
And this, ladies and gentemen, why online education is better than classroom education
Wow this is a very nice explanation am so grateful bro
that was very easy to understand bruh... thanks
Best tutor well explained
Thank you alot i will always remember u in my prayers
REALLY YOU ARE THE BEST NEVER SEEN OVER THIS WORLD. IAM FROM SOMALIA THANK YOU
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!
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.
Thanks for helping.
Great teacher . thanks ❤
You're the best,Thank you so much 😊😊😊
I just want u to know that an angel is born everytime u post
thank you so much!!
Bro that makes so much sense thank Goodness for youtube and you cuz I was so confused 😂
Thx a lot I don’t know how to thank u U R amazing 💋💋
This guy literally teaches better than my school right now
Helped so much.Thnx
Big help sir🙏🏻
Thank you for saving me from my math tutorial class.
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
Thank you thank you thank you
THANK YOU
thank youuuuu
❤️❤️❤️THANK YOU
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
2 жыл бұрын
cope
@shaynerushton214
2 жыл бұрын
@@uncle_sanguine852 or provide feedback that helps. Shhhh
@uncle_sanguine852
2 жыл бұрын
@@shaynerushton214 cope
@katiecurran9887
2 жыл бұрын
people r dying kim
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
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
Your channel is like thesaurus for maths. Whenever I don't understand sth, i look that up here.
That was greaaaaaaaaat!
the best
thank you po
you are my best mathematics teacter
@matthewreddy2841
5 жыл бұрын
Yeah you need a better English teacher my dude🤣
May God bless you!
The sin 2x/cos 2x is the best trick for tan 2x
@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
2 жыл бұрын
Same in mind as well
@alster724
2 жыл бұрын
@@julietokonko4274 My Senior High Math Doctor taught me this trick
You just saved me dude, 🎉... Couldn't get this in class yapa Luanar (Bunda campus)
Bro u are a magician 😂😂😂😂😂😂I swr how did I understand this soooo fast
how can you determine the type of triangle that it is?
3:54 how did you get the 4?
how do i do stuff like cos112.5 in angles?
🔥🔥🔥
how do you know what type of triangle you have?
@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.
How do u know which quadrant the angles fall in... I don't know how to tell.
@d8264
4 жыл бұрын
Compare angles to unit circle.
@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
2 жыл бұрын
@@Meggutz this was very useful thx
My only problem is finding this out right at night before the test 😩
Why isn't Cosine positive since its in quadrant 4?
Love you 😘😘😘😘
why even go to class if I can just watch your vids and understand in literally 1/4th the time
At 9:43 Why isn't the hypotenuse negative?
@supremechair5812
2 жыл бұрын
The hypotenuse is positive no matter which quadrant it is in.
Thank you, now I understand better I will sleep less stupid
apreciated :þ
how tan could be positive while theta is in q4? 12:56
This is 1000x better than Virtual High school. Never do a course with their online program.
How to get 5,12,13 triangle??
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_
2 жыл бұрын
nope, just realized it was a multiple of sin 2x lmao. It's 3 sin 10x.
What is cos of sin 1/5
Organic Chemistry Teacher is literally superior to my teacher.
someone please tell me why only the 12 was negative in the fourth quad while 5 and 12 were exempted
@shamsaali9629
Жыл бұрын
Yea i need to know too
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
2 жыл бұрын
The 144/13 has a negative of course but it’ll be squared which will make it positive.
Sir so not understood where the 4 comes from
what if the question is secant, cosecant and cotangent
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?
💯💯💯🙇♂️
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
Жыл бұрын
whats the question exactly?
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.
Anyone can you explain how 12 comes in the opp.side?
@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 😉
you sound like lil tecca if he was a teacher but good vid.
@user-mi7tx8hx8u
3 жыл бұрын
Dead
@hummus9118
3 жыл бұрын
who is lil tecca
@storny1878
3 жыл бұрын
@@hummus9118 lmfao
@hummus9118
3 жыл бұрын
@@storny1878 oafml
@storny1878
3 жыл бұрын
@@hummus9118 u doin p3 in jan?
cos(2x) = 2cosx-2sinx
Where the other values of cos2π
sin(x+y) = sinxcosy + sinycosx
Where did you get that 4 on 3:37
@ksnarayanan5281
4 жыл бұрын
pythagoras theorem sqrt(5^2 - 3^2) = 4
5:59. that 5 tho 😂
sin(2x) = 2sinxcosx