How to evaluate for the composition of two trigonometric functions
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- Опубликовано: 13 окт 2024
- 👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function, you first evaluate the one inside the parenthesis.
We can evaluate the composition of a trigonometric function and an inverse trigonometric function using a calculator, the unit circle of the quadrants' triangle. It is important when computing the inverse of a function that the input is within the domain of the function and the output is within the range.
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sharing this to my trig professor bc so many students need your videos right now-- for future reference though could you repeat the student's questions, or list them in the description?
thank you so much
This dude is the best
He literally saves me
I have a trig test in a few days where I'm just supposed to know the unit circle to solve these problems. This is the first time I've seen the unit circle explained this way and I think this will save me. THANK YOU SO MUCH!!!
i hope you at the very least get another million subscribers within 4 years. you deserve so much man
I have been going to tutoring after tutoring with my teacher and she still couldn't help me understand it and you did it in 7 minutes thank you sooooo much!
This helped me so much I am literally watching it on repeat! THANK YOU SO MUCH!
Thank you so much, Sir! if all the math teachers are like you, we students would have colonized Mars by now!
no we would not have don't be silly.
@@FutureFranchise Ever heard of a joke?
@@Bob-jj8st no
after saw you,i thought one day i want to be a teacher like you..
my experience: as long as whatever value (ignore x vs y) you have in the inner-most bracket is in the range out the outer-most function, we can 'cancel'
Ur explanation is awesome. But u could have mentioned reference angle perfectly as, theta is 45 degrees.. Rather than -45 degrees.
it wouldn't matter as cosine is positive in the 4th quadrant regardless
Great video, great teacher!
can't you just skip to 7pi/4 and THEN restrict the domain (by reflecting) to fit within 0 and pi. Seems way faster.
Do you get the domain from the outer function and the range from the inner function
Bro you are my hero
Hello. I'd like to ask can we restrict the domain between any other two angles, maybe between -π and 0? If not, could you please explain it to me?
Because going outside that domain interval would cause it to fail the vertical line test, therefore the restrictions are necessary.
What do I do if the x of the function is not a typical point on the unit circle for ex. 11pi/8
i can't find a good video that explains problems like that...im trying to solve one that's 10pi/7 >__>
Melissa Hernandez omg Same , so annoying ! And a need it for my test soon. If you find one let me know back here and if I find one I’ll let you know ?
@@Cheyenneuniverse lol your test is prob over, but in cases like that, they should cancel out (like the cos -1 and cos) because 11pi/8 isn't going to give you a clean point on the unit circle
I know this is on an old video, but if you made your students voices louder in the videos, I think it would help a lot of us troubleshoot the problems in your lessons even further. Just a thought! I know you're retired though haha
thank you
WOW he really teaches the math
Yes
knowing how to solve this must be nice. *cries*
we don’t deserve to watch this for free thank you
Trig test tmrw and it's the first time I learned that these problems are called compositions. smh
subscribing and sending to my group chat
IM FAILING MY TEST
So am I 😭😭😭😭
Thank you
Very welcome!!