Verifying a trigonometric identity with multiple steps
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- เผยแพร่เมื่อ 29 ก.ย. 2024
- 👉 Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the left-hand side of the equality sign is equal to the term on the right-hand side. To verify rational trigonometric identities, it is usually more convenient to start with getting rid of the denominator(s) of the rational term(s). This can be done by multiplying both the numerator and the denominator by the conjugate if the denominator involves addition/subtraction or by the reciprocal if the denominator involves product.
After evaluating the rational terms, we can then further reduce the trigonometric identity using any of the common trigonometric identities like the quotient, reciprocal, even, odd, co-function, and Pythagoras trigonometric identities or all the trigonometric functions can be converted to sine and cosine functions.
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Organized Videos:
✅ Verify Trigonometric Identities
• Verify Trigonometric I...
✅ Verify Simple Trigonometric Identities
• Verify Simple Trigonom...
✅ Verify Trigonometric Identities with Rational Expressions
• Verify Trigonometric I...
✅ Verify Trigonometric Identities by Multiplying
• Verify Trigonometric I...
✅ Verify Trigonometric Identities by Adding and Subtracting
• Verify Trigonometric I...
✅ Verify Trigonometric Identities with Fractions
• Verify Trigonometric I...
✅ Verify Trigonometric Identities by Pythagorean Identities
• Verify Trigonometric I...
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im doing independent highschool right now and find your videos help me alot. Although learning is subjective i think most kids appreciate when teachers convey there rational and steps in a visual whiteboard style. Thank you for uploading :)
Happy to be able to help you out! keep up the hard work!
Dude...this is helping me all the way over here in 🇮🇳
yea bro
Bro this was literally the problem on my test thx for the help home boy
Nice comment man
I still don't understand how you're able to multiply the top and the bottom by cosx
as long as you multiply the the same number you do not change the value of the fraction 3/4=(2/2)*(3/4)=6/8
Brian McLogan ohh ok I see thx for the fast reply this really helped
I just think of it as converting the tangents to get [(-sinx/cosx) *(cosx/1) /[1-(sinx/cosx)], then converting the denominator's 1 to cosx/cosx and multiplying across to get: [(-sinx*cosx) /cosx] /[(cosx-sinx) /cosx]
Heey bhagwan!!! 😂
Thx 4 the headache
I wish I could borrow your brain during my exams
thanks for these videos, they're really helpful :)
awesome! happy to be able to help you
how to answer this kind of problem.
sinx cscx tanx cotx=1 ?
LHS: sinx cscx tanx cotx = sinx (1/sinx) tanx (1/tanx) = (sinx/sinx)(tanx/tanx) = 1*1 = 1
I didn’t get the last part where the -1 canceled each other out and then turned into positive and suddenly the numerator was sinxcosx ??
this lecture taught me more than my professor taught me in the whole class period. amazing
Hi. So I am pretty good at these. But I have a question. I know it’s kind of late lol but is it okay if we work with both sides as long as we make them look identical. So if I were to make tan x in terms of sin x/ cos x and then just algebraically work it out so that both sides are equal… can that work? I don’t know… because that’s how I usually do it… let me know!! Thanks
Hi sir! is it okay if we multiply it with the numerator, instead of the denominator? bcoz in our module, it says either to multiply it with the numerator or denominator :)
I was super stressed out about my trig test, but now I feel so much better thank you so much!
you are very welcome! happy to be able to help you out!
I passes it! I made a 96!
@@CAT-2323 hurrayyy🥳🥳🤭
Helpful what a relieve
happy to help!
Very simple we wil get...
Cosx(1 - 1/1-tanx)
Cosx(1 - tanx -1)/1-tanx
Cosx(-tanx)/1-tanx
Cosx(tanx)/tanx-1
Cosx × (sinx/cox)/sinx÷cosx -1
Sinx÷sinx-cox/cosx
Sinx cosx/sinx - cosx
I'm so lost wth i tried my best until he started doing 3:58
Not sure if you still need it but if you're referring to when he converted to the tan to sin and cos its because tan = sin/cos
Thank you for this type of teaching course
so with regard to the specific issue of proving trigonometric identities, the basic approach is to
1,) combine the side with more terms:
2.) Assess the other side, if it contains tans, or cots, or not.
3.) if no -> Convert all tans and cots on the working side into sin/cos and cos/sin
4.) if yes -> Leave the tans and cots on the working side, and write sin/cos and cos/sin as tan and cot
Literally watching this in the middle of a test bahahaha
Ohhh Sh&@#
Thumbnail is cso x lol
please help with proving the identity, CosX over SinX + SinX over CosX = CscXSecX
You have cso instead of cos on the cover page for the video
will fix, thanks
Never stop posting these videos. Thank you!
Thanks this helps a lot 😎😊😊
awesome! happy to be able to help you out!
Why the thumbnail is CsoX????
Thank you very much for the result.
#MathHelpers#MathHelpers#MathHelpers#MathHelpers
Really appreciate the vids, this is probably the hardest part of trig/precalc for me and we keep moving on with the class so these vids really help
practice, practice, practice
This video was so helpful. Thanks so much!
You lost me at 4:22.
youre the goat G!
Thank you for the help
Really helpful..thank you
0:42
Thanks a lot !!
Very welcome!
How does cos(x) + sin(x) equal sin(x) - cos(x)??
it doesn't,
It looks like he does not even know what he is saying. but thanks anyways.
why would you think that?
nah idk what this dude's talkin about, the lesson was good
Why u are thinking that.
thank you sir
Yo do you know how to do this shit I'm lost and I have a quiz on this stuff in the morning
😁 i’m a math teacher now and i well explain this example to my students
@@mathwithnour9780 man wish I had a better teacher my teacher just slams this shit in our faces in one class then after expects us to know everything 🥴😵😵😵😵😵😵
😂😂 that’s what they do
But i like this subject and i will try to make it easy for them 😜
@@mathwithnour9780 wish my teacher would she acts like everything needs ti be done in 5 minutes
I have 3 other ways to prove it
can I see your other methods??
@@takeone_do sure, but not right now because I need to sleep. I will as soon as I can 😊
@@mohammadshol7497 Aight... I can't wait for your reply xD
@@takeone_do th-cam.com/video/xkjjgTTgHv8/w-d-xo.html
@@takeone_do I'm really sorry for being late. Making a TH-cam video isn't easy as I imagined. recording the video , trimming , editing ...... in addition to the stress and the tension I felt ( this is my first video ever ) , and my low internet upload speed ... all that took much time and that's why the video came late.
I hope you enjoy the video :)
Start out by converting to sin(x) and cos(x) using tan(x)= sin(x)/cos(x)