How to evaluate the inverse of trigonometric functions with unit circle

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11 жыл бұрын

👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the inverse trigonometric functions, especially for non-special angles.
To calculate the inverse trigonometric function of a value using the calculator we press the second function button (shift) before pressing the trigonometric function button and then the number follows. This gives the inverse trigonometric function of the calculated value.
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✅ Evaluate Inverse Trigonometric Functions
• Evaluate Inverse Trigo...
✅ Evaluate Inverse Trigonometric Functions with a calculator
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✅ Evaluate Inverse Trigonometric Functions | Learn About
• Evaluate Inverse Trigo...
✅ Evaluate Inverse Trigonometric Functions given a Triangle
• Evaluate Inverse Trigo...
✅ How to Evaluate Inverse Trig Functions without a calculator
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✅ Evaluate a Composition of Inverse Trigonometric Functions
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Пікірлер: 79

@Mohit-ks1gu 6 жыл бұрын

Shouldn't the range for arctan be(-π/2 , π/2) open interval

@brianmclogan 6 жыл бұрын

yes open interval

@phamnguyenlinhcuc7425 4 жыл бұрын

I was stuck on this until I saw your video, thanks a lot!! Just moved to America to study so those videos are so helpful^^

@tatiana1310 4 жыл бұрын

I appreciate that you don't cut your student's questions. These help a lot!

@qualquan 9 жыл бұрын

An easy way to distinguish between trig and inverse trig functions is that : In trig functions the INPUT (or what goes within brackets) is theta whereas in in the inverse trig functions the INPUT is the reverse, meaning it is sin theta or cosine theta or tan theta etc. So since the INPUT is reversed hence the OUTPUT will also be reversed. Think of REVERSAL of INPUT hence OUTPUT.

@brianmclogan 9 жыл бұрын

qualquan thank you!

@qualquan 9 жыл бұрын

Mr. McLogan's Math Channel I probably did not say anything original except that being simple minded I like to think in everyday terms like "input" and "output" with the output written before the input. The term "function" is another term for the output. Also that the terms sin, cosine and tan etc. are mere ratios of the sides of a right triangle. Perhaps a bit of necessary jargon.

@melissahernandez4329 4 жыл бұрын

i love that you really break the problems down instead of assuming we know what you're doing. THANK YOU!

@gleefulghost774 5 жыл бұрын

This helped me a lot, but I have a question. Have you fixed the caps on you markers, or do you do that on purpose?

@DinoTheThird 6 жыл бұрын

Wow!!! I can't believe it's this simple. The way he explained it was so clear

@brianmclogan 6 жыл бұрын

happy to help

@kaylinfelix4809 8 жыл бұрын

You helped me last year, and now you're helping me again. You are a Boss. Thanks a lot sir.

@brianmclogan 8 жыл бұрын

+Kaylin Felix : ) happy to help!

@prab3636 9 жыл бұрын

you sir are a godsend. Thanks for posting.

@brianmclogan 9 жыл бұрын

Prabh Dhillon : ) just happy to be able to help you out!

@brianmclogan 11 жыл бұрын

you are very welcome!

@MildSatire 3 жыл бұрын

Brian McLogan fuck off m8 lmao

@blainegrabbert1304 6 жыл бұрын

Thank you so much!!!! your video really helped me understand this concept and I really appreciate the time and effort you put in making this.

@brianmclogan 6 жыл бұрын

you are very welcome!

@lamontebritt2210 5 жыл бұрын

Thx. Very helpful.

@ratnagamage1466 8 жыл бұрын

At first when i was doing the problem i was lost but after i saw your video it made my life easir. so thank you keep posting the great work.

@brianmclogan 8 жыл бұрын

+Ratna Gamage Happy to hear, will do!

@TheAlexSaysHi 10 жыл бұрын

thank you so much this is honestly so helpful i have a test on this tomorrow and you explained the topic so well, better than any other video ive seen so thank you so much!!!!!!

@brianmclogan 10 жыл бұрын

you are very welcome! so happy to be able to help you out!

@tatiana1310 4 жыл бұрын

10:37 This is SOOOO important!

@skylerchristie6216 5 жыл бұрын

Is there a way to find the inverse cos of 12/13 using the unit circle, or do you have to use a calculator?

@alaazamel8176 4 жыл бұрын

You're the best Ever thanks so much

@Lyblix 8 жыл бұрын

thank you so much for posting this! however i have a question: what do you do when instead of arcsin or arccos its arcsec or arccsc?

@brianmclogan 8 жыл бұрын

arc(1/cos) and arc(1/sin) they are just reciprocals of one another

@solomonabebe8800 6 жыл бұрын

Thank you so much that was really helpful!

@brianmclogan 6 жыл бұрын

you are very welcome! happy to help

@viridianam8439 8 жыл бұрын

omg this literally just saved me!! It is much more simple than it seemed

@brianmclogan 8 жыл бұрын

+Viridiana M happy to save you, keep up the hard work!

@jeromecudapas 4 жыл бұрын

sir, how do you solve arccsc(-2)

@marcus3435 5 жыл бұрын

i didn't know that your channel would have merch, I thought it was going to only have math:)

@alis.8894 9 жыл бұрын

Very helpful video thank you

@brianmclogan 9 жыл бұрын

Ali S. you are very welcome! happy to be able to help!

@bluepoint4342 11 жыл бұрын

Thx

@PandaBerry23 10 жыл бұрын

Omg this helped so much! You always help me with all my math confusion.

@brianmclogan 10 жыл бұрын

: ) thats what I like to be here for

@joblong9605 6 жыл бұрын

Could you please put the episode no. so if I missed out something that I need for the lesson, I could go and check it.If it's okay.I am very pleased with all of your explanations. Thanks.

@brianmclogan 6 жыл бұрын

Hi Job, I do not have my lesson videos organized in sequence on KZfaq since I have so many of them. However I do have Master videos organized in sequence on my channel, paid courses available that go in sequence and my website also has many of my playlists ordered. Hope that helps

@whatisnewwithsamer9500 5 жыл бұрын

umm, how do i find the video of the very start of inverse of trigonometric functions ?

@brianmclogan 5 жыл бұрын

I do not have my videos in order, as they come from many different classes, check out the playlist at the end for more examples

@tananbayar3626 8 жыл бұрын

What happens if the angle you find does not fit in the restritctions?

@brianmclogan 8 жыл бұрын

+Tanan Bayarmagnai do you have an example of what you are referring to?

@joblong9605 6 жыл бұрын

I really like how you go ahead of yourself, it reflects my personality.he....

@brianmclogan 6 жыл бұрын

Glad it helps

@lenamaximoff5484 6 жыл бұрын

Why is the range for cosine pi to 0? I'm confused on that

@brianmclogan 6 жыл бұрын

no the INVERSE of cosine has a restricted range from [0,2pi] Here is a video I made on it kzfaq.info/get/bejne/rqt3jdaIzKnSXYU.html

@aristotelescajiza9048 7 жыл бұрын

WOW!!! I wish you were my teacher.

@brianmclogan 7 жыл бұрын

here for you

@aristotelescajiza9048 7 жыл бұрын

thanks, your videos are really very helpful. I've been watching them for a long time and I really understand what you explain. Is impossible don't understand. Great Job

@krissym6441 8 жыл бұрын

Thanks for this, greatly appreciated..my precalc professor explains horribly!

@brianmclogan 8 жыл бұрын

+Sara Ni here for you for the rest of the year, let me know how else I can help!

@urvashidave125 8 жыл бұрын

cos B = -0.346 then what will be the inverse cos. sir, plz do help me i am facing so much problem. while solving

@brianmclogan 8 жыл бұрын

+Urvashi Dave sin^-1(-0.346) = B

@carlosandil6634 8 жыл бұрын

can you do tan^-1(radical3/3)

@brianmclogan 8 жыл бұрын

+Carlo Sandil look at the unit circle what angle occurs when y/x from the coordinate point of the angle is root3/3

@carlosandil6634 8 жыл бұрын

+Mr. McLogan's Math Channel, is pi/6 the right answer?

@Muneer398 6 жыл бұрын

Cool bro

@brianmclogan 6 жыл бұрын

cheers!

@Itsjjones 6 жыл бұрын

I’m getting confused on the part our teacher gave us, with a cotangent theta negative square root of 3

@brianmclogan 6 жыл бұрын

use the reciprocal function 1/tan(theta)=root(3) therefore tan(theta)=1/root(3) or root(3)/3

@hichamyounsaoui372 7 жыл бұрын

please can you give me the inverse of f(x)=x+cos(x)

@brianmclogan 7 жыл бұрын

sorry I do not have time to work out individual problems as I have multiple examples

@mcramacrash 9 жыл бұрын

Arctan (0) = 2pie radians or 0°

@brianmclogan 9 жыл бұрын

Michael Paul depends on the constraint otherwise it will be for both

@Curmudgeon1685 6 жыл бұрын

The domain has to be restricted for inverse, not range.

@brianmclogan 6 жыл бұрын

correct, the domain of the trig function is restricted giving the range of the inverse function that restriction

@DM-gu9ik 6 жыл бұрын

Hahah 1:51 so funny!

@brianmclogan 6 жыл бұрын

haha yep happens to me too

@johnaronson3304 5 жыл бұрын

Your videos are excellent drills. I never fail to learn something. The repetition is so helpful. @@brianmclogan

@Curmudgeon1685 6 жыл бұрын

And why not just show them the tangent graph for the student who doesn't understand where tan becomes 0 and undefined? That should be far more intuitive than unit circle, imho.

@brianmclogan 6 жыл бұрын

I have a video on that, and teach that as well in my class, this video just doesn't go there