Verifying Trigonometric Identities Easily - Strategy Explained (14 Examples)
HTML-код
- Опубликовано: 8 фев 2025
- Learn how to verify trigonometric identities easily in this video math tutorial by Mario's Math Tutoring. We go through 14 example problems involving reciprocal identities, quotient identities, even and odd identities, pythagorean trig identities, and cofunction identities. I also share tips for how to approach verifying these trig identities.
Related Videos to Help You Succeed!:
Verifying More Trig Identities
• Verify Trig Identities...
Take Your Learning to the Next Level with Me!:
Subscribe to the Channel
bit.ly/Subscrib...
Get my Learn Algebra 2 Video Course (Preview 13 free video lessons & learn more)
mariosmathtuto...
Learn Algebra 1 Video Course
mariosmathtuto...
Looking to raise your math score on the ACT and new SAT?
Check out my Huge ACT Math Video Course and my Huge SAT Math Video Course for sale at
mariosmathtuto...
Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
www.mariosmath...
What i really appreciate is the fact that you say each step even if it’s kinda repetitive. I have problems with my teacher assuming I know things and skipping steps, making it impossible to learn how to complete these problems. Great video!
I totally agree. My teacher rushes through the steps expecting me to have a supernatural talent or something.
Just wanted to say thank you for that kind message at the 9 minute mark, I'm in pre-calculus and although I try my best in math- i always need to put the extra work in to be able to score well in the class so I spend extra time watching videos like this to practice & understand better. This was definitely helpful and very clear to understand thank you!
You’re welcome Kristina! Keep up the good work!
@@MariosMathTutoring that massage changed my mood and it definitely helped, tysm
You’re welcome!
@@lazyonigiri5665 *message
You're not alone, I am in the same boat and I really appreciated both of your remarks.
Love it when teachers do ACTUAL examples Thank you!!
Right… when my teacher gave us practice problems, they were WAY easier than the ones on the test. So it took me by surprise and I did poorly. I hate when teachers do that :/
On my first attempt I couldn't even get one. Then I watched other videos and studied more. On the third or 4th day of trying I attempted it and got 9/14. Today I tried it again and can do all 14. This really is about experience. There's only so many kinds of problems they can show you, eventually they'll be forced to repeat the same kinds of problems. Now when I see a problem I know what to do because I've seen all the tricks. Keep doing this, build experience, and keep an eye out for patterns. I must have sunk over 20 hours into getting this concept as someone with a normal intelligence over about 5 days, so keep that in mind as you struggle! This is hard, it's supposed to take a long time.
this makes me feel so much better because this concept is so time-consuming and I don't even understand anything right now.
I’m not even learning this yet but at least I know where to look if I need it. Thanks man
You’re welcome! Glad you like my channel!
@@MariosMathTutoring please teacher send me your what's upp Number
I've struggled with this topic for months, and now before my exams starts, I can proudly say that I was able to solve all of them correctly!!!, I used to just stop in the middle, not knowing what the next step is, but now i don't just solve, I have different ways than the video that had given the same answer!, thank you, ALOT.
How do u do it? Whats the other ways
@@ishke2994 well it’s been 9 months since I commented, but I guess it’s fine, The way to solve these equation is to simplify it, thought there are a lot of identities as written as written on the right of the board, I think what I meant here was that I used a different one of those, but ended up with the same solution.
It’s always nice when you get trig identities that can be proven by expanding and factoring, or making due with what’s already written, but it gets trickier when you get ones that you have to multiply by external terms through multiplying by 1, such as multiplying one by (1-sinx)/(1-sinx).
I'm so thankful that you posted a vid about this topic. I was crying lately since I really don't understand, yet I smiled when I suddenly learned this topic all thanks to you. Thank you so much! God bless you sir.
why cant my teacher explain concepts well like you. THANK YOU
@8:30 healing ! I loved how you supported and encouraged your viewer-student. I do the same with my toddler in our night routine, during the math review portion, and she is super engaged, happy and I believe it encourages her learning process
Thanks for that…yes I do want all my viewers to be encouraged
I really enjoy this although I'm new to this and I have been doing a self study of mathematics for only 2 years. It appears once you memorize the formulas you can understand it easily and internalize it and truly understand it. And it's very true what you have said in the video: We need to look at the answer while we position our calculations on the other side of the equal sign. I had to learn the hard way after a few tries. This sort of reminds me of a Rubik's Cube. Your teaching skills are more clear and organized than most instructors I've listened to. thank you
First time through this video, I got 2 on my own. Second time through I was able to get 11 out of 14 on my own. (It really helps if you pause the video before he explains it and try it yourself. And watch this video more than once. ) Thank you sir for making this videos!
There are a few good channels out there that teach this topic, but yours was the easiest for me to follow, and the most helpful. Thank you.
You are a life saver, this unit is just thinking out side the box and explained it perfectly.
Probably the best precalculus on RUclips! Thank you for these examples !
This youtube channel is so helpful. This makes doing math during Covid time much easier. 8:16
God bless you, Mario
I'm doing this in A level maths in UK. Hardest topic I've come across so far.
What’s A level mean? Is that like honor’s or something? Not in UK so idk lol
@@bro...5849 A-level is what UK students study in college for 2 years (HIGH SCHOOL IN USA) You pick 3 subjects, i.e. Maths, busienss and Law then move onto university 2 years later
Trigonometric identities are the EASIEST of the topics in mathematics !!!
@@naushadharji8930 maybe for you. Remember we all have strengths and weaknesses in different topics. You may find a topic hard that I find relatively easy. 👍
@@naushadharji8930 bro fuck you this shits hard
i looked through so many videos on this topic but you're the first to have actually helped me with this!! thank you so much
Super video! I applauded for $2.00 👏
Very thorough and helpful video!
Glad it was helpful!
Thank you, your explanation helped me. These are actually pretty fun now that I know what to look for.
Glad to hear!
Thank you for this explanation. My teacher does not explain things well, he just gets annoyed with us and keeps repeating the same thing that is not helpful. He refuses to explain things any other way so it is nice to be able to watch your videos and have the material actually explained. I have a final tomorrow and we haven't learned everything that is on the packet so thank you for explaining the trig topics that we didn't really learn.
Thank you tremendously, with the onset of Covid-19, I feel a lot of professors have gotten lazy. I am only allowed into my math class once a week, on a Monday and ALL of my course work, including the tests, are due online through a third-party program that costs extra money... I appreciate you picking up the slack that my professor has created.
i have a test on proofs in two days and i can’t do them i’m gonna cry 😃
edit: so uh update....i got an F on it 😎
u cute lil bitch
hahah mine is tomorrow. I think i will fail too :D
@@jaredr9469 bruh same
We all fail together :')
I passed so idk why im even here lol
Number 7 is on my actual homework and now I actually know how to do it...
Probably going to just save this video and hoard it with all the other videos I have for precalc
This is some gold man, i really like that youve listed down the identities on the side too
Thank you for the encouragement message for number four. I was just about to quit but you helped me. Thank you. We need more people like you.
I did my whole assignment right because of this video thanks alot ❤ sending love from Egypt.
Super helpful! Right on the spot of how difficult my HW is, he explains all the "secret sauce" moves my teacher uses.
4 years later and this man is helping me cram so I pass my high school pre cal exam. He deserves an award for being so helpful
Thanks!
You have some of the best videos of any YT math teacher. I have profited from your videos in several math subjects.
Great to hear!
I'll try not to comment too much, but your point about experience is crucial. After practicing a great deal, you get a kind of intuition while looking at an identity. For instance, on your fourth example, I saw the 1 - cos and immediately thought "conjugate". I went that way, ran into a road block and then tried a different route and ran into a road block. I then went back to the conjugate and got it. Your comments about verifying identities are spot on.
I just wanna say THANK YOUUUU, I'm going to an exam in 10 minutes and a classmate sended me this video. Thanks to this video I at least will get an acceptable note, because I didn't understand anything, and now yes. SO THAAAAAAAAAAAAAAAAAAAAANK YOUUUUUUUUUUU, you have my suscribe
Thank you so much for this Mr. Mario. I had a test today and I think I aced it because this video really helped me understand the different strategies to solve each problem. My teacher wasn't nearly as good explaining as you. I'm sure to use more of your videos to help me do good in the class. You're a legend! 😁
At first this was hard, so I stopped doing this for a looong time. But your perspective changed my mindset mathematically, so mathematically by now, I should be able to do most of these by myself all thanks to u
Thank you so much, Mario!! This video was a lifesaver right before my finals.
This man is a national treasure.
Underrated video
*i am 10 standard 👩🏻student in india* 🇮🇳
*i literally like to study maths subject from your channel*
Thank you so much sir 🙂🙂🙂
Sir, please don't die early, I still need you for my college. Take care of your health!!
😂
So helpful; got an A on test thanks to your videos!
i’ve been struggling so much with these! This video helped a lot thank you!
I have a test today and so far I have aced every test since algebra with your vids thanks
I am a 10th student in India, this really helped me and all those problems were directly suited for ICSE.
Thank you so much for your videos. This has been really helpful for me as I try to get through this trigonometry class at my college.
You're very welcome!
Dude Mario you're the goat, I owe all of my knowledge to your excellent teaching.
Glad to help
thank you so much for this video, it helped me a lot and you have taught me more in 30 minutes than in a month in school:)
I got 0/14 correct, but I learnt how to do them after you did it thanks a lot
Your videos are sooo helpful! I never thought i could ever solve an identity on my own
Glad you are finding the videos helpful!
This was really helpful, thanks for the 14 examples as well.
thank you so much MARIO. you are the BEST teacher ever
Thank you soo much! I understood a lot more quicker and better watching this video
Thank you very much sir! You are helping struggled students like me!
hi sir, you may have just saved my whole algebra 2 grade, thanks so much
Thanks, your vedio remouved from my mind the fact that trigonomatry is difficult!
I genuinely love this guy
got my pre calc quiz tomorrow, I appreciate the review
thank you so much for this thankfully i'm not struggling as much as before in this topic. i even got excited when i answered one question correctly. Thanks to you!!!
Thank you so much, I was working along with these examples. These can be so dang mind numbing but this video certainly helped me push forward.
Mario saving my day once again.
Thanks so much for the awesome video
YOU are my FREAKING HERO!!! Thank you, Thank you... 🤩
Watching this 4 hours before my exam in the middle of the night. Thanks
You are saving my life right now😭
Even tho i am not an expert... just a tip...
Try noting down al the techniques he is using ... it was super useful for me
Thanks !
My algebra II class is killing me with these verification! Thx so much for this vid!
I believe people have an identity that is deeper than sexuality. Some are warriors, creators, and healers but without teachers, no one would make it that far. Teachers are the most valuable resource in our world.
Very useful lecture and explained very well. I shared it with my BS Chemistry students.
Thank you so much. Saved my sanity with the great teaching! Have an awesome day.
Sir you look like Charles Xavier... Thank you sir for your teaching
You're an absolute life-saver!!!
You are the best maths teacher I have ever had. Previously I got Fail Marks on Mathematics 14 out of 50. But now I can feel the adrenaline pumping to aim for the bull's eye. Love from India 🇮🇳
क्या तुम पास हो गए?
Ur English is fail
thanks I aced my test in 7th grade
Great job!
Today's my final examination for trigonometry and I hope I'll apply on the exam what I learned in this video. Thank you
how did it go
You are the absolute best!!! Saved my life! Or at least my grade🤣
Thanks so much for the examples! Extremely helpful!!! Worth it to subscribe!
Glad it was helpful!
The most useful part here for me was the tip to not factor conjugates for the numerator.
That was the whole issue I was having in seeing eliminations that could be made.
Dallin here .. watching this from india ..Very useful one thank you
You’re welcome!
This was a great video that has helped me lots! Practice was great.
Awesome explanation sir.🎉🎉🎉
Thank You for teaching me this.
When would you know to multiply the denominators by the conjugate?
I'm lost there too
That's a lot of examples. Thank so much sir.
Great for review! Thank you!
You are a great teacher Sir. Mario
Thanks Sir! Please try to make more verifying videos and complicated as well!
this actual so much helpful wish my teacher can explain more specify
Thank you for posting this great video
he teaches this to me better in like 30 min than my teacher did in 90 min!
"most people would have bailed by now- so congrats!" bro ive been trying to learn this for 2 weeeks and my test is tmr, i cannot bail.
ty for being nice tho now ima finish this
Best of luck
howd it go bro
@@Haza-rp1cb i got a 100 by sheer luck and ended the class w like a 98 😃
You're the best sir
I loved it. MARIO METHODOLOGY
You are saving lives sir
Thanks man a lot, you don't know what have you done!
Glad I could help!
God bless this man
Helpful, because for some reason, I do everything else very well except this
bless you man i got final soon so this is helping me a lot i love you dude
I appreciate your help sir.
I went into this confused and frustrated as to why I kept getting my answers wrong. (even though I felt I was doing everything I could) This video helped me realize that I was disregarding 2 of the Pythagorean identities 😂😂😂😂 No wonder it was so hard. Thank you so much for the help and positivity. We need more teachers like you.
This was VERY helpful!!
OMG, you are amazing. Thank you so much
You’re welcome!
Sir you are a legend