Verifying a trigonometric Identities
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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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which side should you pick to verify the identity? - th-cam.com/video/efYHuDfSkBY/w-d-xo.html
7 years from now and he still saving everybody's grades. You a legend. Keep it up
It makes 10 years now
11 years now lol
11 years 😭
thank u so much
you are very welcome Candy!!
why is it 1 instead of 1^2
1^=1
my trig teacher sucks, half of the class has dropped and the other half is failing. i think i’m the only one that will pass the exam tmr thanks to you
Lol why did i get so excited when he got the answer
haha not sure
I would like to learn about this topic from the beginning, do you have a playlist on solving for identities.
had this exact problem, only difference was that sin was being subtracted from 1 rather than being added. Thank you so much!! Your videos always come in clutch.
but why at 4:58 you say 'and yes it is' so sassy hahah i love it thank you so much
ohhhhh my god you helped me so much, keep up these videos. You are the best !!!!!!
you are very welcome!
Hi Prof.Your videos are really helping me a great deal.Thank you.
How do you go about this problem;
"Find the rectangular equation of the curve whose parametric equations are X=a cos t and Y=b cos t for from -ve infinity to +ve infinity given that a is not equal to b .Name two possible curves that can be represented by the given equation."
Brian.
With the second step, why is it that your binomial is not 1 + sin^2 (theta) but is 1^2 + 2 sin(theta) + sin^2 (theta)?
you foil it because its 2 binomials multiplying
@@theworlddiscoverer7316 Damn that took years. Thank you
THANK YOU!!! I am taking an online class right now. (Duh, all classes right now are online.) But in all seriousness, I had this exact same problem, and I'd gone through trying to solve it on my own for like an hour, had left and come back to it, and was on the penultimate step. When I watched this video, I realized about halfway through the video, before it even got to that step where I'd been stuck, what I hadn't thought of before (which was factoring the two out and being able to eliminate the (1+sinx). This video was an answer to my prayers, quite literally.
I like how you get straight into the solving
THANKK YOU OMG i was stuck on a very similar problem this helped so much
This is probably the quickest way to prove 2/cos and 2sec at the same time
Really helped thanks 👍(I can ace these problems
Thx for helping me understand proofs!
that was gr8 sir thank u very much may good guide u and bless u ameen'
pre calculus is so hard😭and our teacher in their makes our life in studies more complicated.for she don’t know how to discuss well😭😭she’s an engineer though not a teacher😭😭😭skl
So sorry to hear, keep working hard
bro was saving my life while i was in like 4th grade and i didn’t even know it yet
Love steps 7 and 8. Need to make that into a poster for my classroom!
Oh my goodness this exact question was a question on my take home test. I was starting at it for hours struggling, this helped so much!! Thank you!!
Yay! I’m very new to trig identities but I decided to pause the video at the start and try this one for myself. I feel so happy that I was able to do it all on my own!! :)
Bro every time I see a math problem and see it equal to the left side I'm like this some type of witch craft
Wish I had his email to ask him for help on one of my questions I have
wait what happened to the one I thought it would be 2+sin x +1???
I was wondering the same thing
THANK YOU SO MUCH FOR THIS😭❤️
Bro you are a star
soo fucking helpful
I just wanna ask if,, is there no rule or anything when applying operation? Like i can multiply or add 1+sin0 in every way i want to get the answer im looking for?
what he explained in 5 minutes and 11 seconds is moreeeee than what my professor did in 3 lectures 😅
All respect and thanks
Thank you so much, I was having trouble with this and now I get it
I got lost after 0:01
You did a good job on this video! It might be helpful to explicitly write a chain of equalities from the left-hand side to the right-hand side instead of writing only expressions one after another.
How does the very first part (1+sin theta ) multiplied by 1 become 1 +2sin theta
I should had inserted parenthesis I multiplied (1+sin(theta)) times(1+sin(theta))
Theres literally 0 logic behind this shit 😂
it takes time and practice
I've been up all night, watching all your trig identities video for fun... I need help
Why did you factor out the 2?
✅✅✅👍
shouldn't ( 1+ sin THeta) * ( 1+ sin theta) = 1+sin^2 theta ?
no, need to follow distributive property
yeah, its the (a+b)^2 property
2022
Thanks a bunch for helping me for years.
Viva sir ...your ideas are master class ....am an engineering student and am in great love with your mathematics
So happy to be able to help!!
Thank u
Very easy. My high school memory came back!
thank you brian, you a real one
Slowly making more sense! Thanks!
Sir you look like Randy Orton
you deserve a raise!
I was searching for some strategy to solve,Great found one.
Sir help me! ... Prove that sin(x-150)+sin(x+30)=0...
Sin(x-150) + sin(x+30)
=Sin(x-180+30) + sin(x+30)
=Sin(-(180-x-30) + sin(x+30)
=-sin(180-(x+30)) + sin(x+30)
=-sin(x+30) + sin(x+30)
=0
if we have fraction to subtract do we still make the denominators the same?
THANK U SO MUCH
No. THANK YOU!
He’s just so good at what he does
Well done boss
Really just such a beast
What happensed in the last part? Huhu help me here I'm new for that thing. It's hard to left behind
can you detail what you are referring to or the exact time?
Nothing. Thanks for the video it help me a lot Mr.
Truly a legend
damn
Great explanation, Brian! Nice work! Keep it up!
nice vedio thx for your explanation sir thxxxxxxxxxxxxxxxxx a lllllllllllllllllllllllllllllooooooooooooooooooooottttttttttttttttttttttttttttt
you are very welcome!
Hello
Please what is the integration of
1/1-x^2
Use u substitution
Who actually uses this in a real job aside from a math teacher?
Engineers use it for constructing buildings, bridges, houses. Haven't u herd about prblms based on finding the height of a tower or a building?
it's not about using it on a daily basis. It's about knowing such thing exist when u do need it.
Tq
thanks . really helped.
you are very welcome!
u should have taken LCM of cos theta and 1+sin theta in the beginning
ur trick is nice of multiplying numerator and denominator with suitable terms to get the clearest identity
thank you
best way to practice and understand this concept
cheers!
Awesome thank you Prof!
This helped so much! Thank you!
This is really helpful.
awesome happy to help
You take a really lengthy approach just multiply bot sides with the conjugate on 2nd term and then it's done.
Yeah its called "teaching".
-_-
superb explanation,thanks man
you are very welcome!
😅😄😇
cheers!
Ash and Pika thanky
Thank you! You have the clearest explanations
happy to help