Sin Cos Tan - Trigonometry - Free Educational videos for Students in K-12

Sin Cos Tan - Trigonometry - By tecmath

Transcript


00:0-1	get out and welcome to the Tech Math channel .
00:02	What I'm going to be doing in this video ,
00:03	is there going to be having a look at trigonometry
00:06	? Okay , this is the first video we're going
00:08	to be having a look at trigonometry in a series
00:10	of making right now . Um and so first off
00:14	, we're gonna have a bit of a look at
00:15	some different terms that we're gonna be using when we
00:17	look at trigonometry . So , first off , what
00:19	is trigonometry ? Trigonometry is essentially where were quite literally
00:24	means the measurement of triangles . Okay , so basically
00:28	for right angle triangles , that's ones that have this
00:30	little 90 degree uh algorithm . You can use this
00:35	trigger dormitory to work out . So if you have
00:39	an angle here , you could work out some unknown
00:41	side . Like so you can use unless you can
00:43	use side leads to work out unknown angles . Okay
00:45	. Because it has these fairly uh handy little ratios
00:49	that we're gonna be having a look at . Okay
00:51	, so just pretty much that's what you need to
00:53	realize for them . We're gonna be using angles in
00:56	this writing or trying to work outside links and silence
00:58	to work at angles . As long as you have
01:01	two of them , you can work out everything else
01:03	. Okay , so first off , really handy what
01:06	we can do is we put some labels on them
01:08	because every particular uh , side here has a name
01:13	. So first off , it depends on the angle
01:16	that were either trying to work out or the angle
01:18	that we have , but the angle that we're are
01:20	the working out of the angle we have , we
01:22	call theater . Okay , I'm gonna market here ,
01:24	but I could just as easily market here , it
01:26	would just changes sides uh , what they were in
01:30	relation here . So , first off , the longest
01:33	side here , you may remember this of Pythagoras ,
01:36	is there we call the high what news ? Okay
01:43	. Or for sure , we're gonna , it's gonna
01:45	often referred to as h okay , now , if
01:49	you want to have a look from this angle directly
01:53	across this side , over here , to the opposite
01:56	side here , we have another side . It's directly
01:58	opposite theater here . And we actually call it the
02:03	opposite . Okay , So I'll write that in the
02:08	opposite . Okay , You can probably guess . So
02:12	we often call this , oh , and we have
02:16	this other one here , which is adjacent to theater
02:19	here . Okay . We call this the adjacent Jason
02:26	. We don't call it Jason , we call it
02:28	the adjacent . All right , so there we go
02:33	. I love that . We're going to use a
02:35	to symbolize that . Okay , so the high pot
02:38	news always along the side , the opposite , opposite
02:41	theater there , Jason is running next to a theater
02:45	there . Okay . Often I find it easier to
02:47	put the opposite one in first . So there's a
02:49	couple of really , really , uh , there's three
02:52	true economic ratios they're called that we're actually gonna be
02:55	using that . We can work out unknown sides ,
02:58	unknown angles and these are as followers . Okay .
03:02	So I'll move this just like this and we'll write
03:04	this down the ones that you see . I'm going
03:06	to put up a calculator . Okay . You're depending
03:09	on which calculator you have . Uh , first off
03:12	, if you're using the one on the computer ,
03:13	you might see that I have it on scientific here
03:16	under view . Okay . But you might also have
03:20	one that actually is an actual calculated calculator . And
03:23	they often see they have these buttons tan cause and
03:26	sign . See those ones . These are the ones
03:29	we're going to be using a lot sign cause and
03:32	Tan . And these basically are the three different trigger
03:36	atomic ratios . Okay , so the first one ,
03:41	the side of the angle . Okay , The first
03:43	one is called the sign ratio . And that's what
03:46	we're dealing with . The opposite . Okay . And
03:49	the high pot news . Ok , so essentially it's
03:52	looking at a ratio . That's where the opposite here
03:55	and the high pot news . If we end up
03:58	, it's a ratio . So it ends up with
04:00	opposite overhype . What do you use ? Okay ,
04:05	we also have one which I put back up because
04:07	that was a sign . We have the one here
04:09	which is called the co sign . But often we
04:10	just call it cause for short , the co sign
04:14	is looking at the relationship between uh the adjacent and
04:22	the high point news . It's not the opposite the
04:25	high point news . Now we're looking at the adjacent
04:27	and the high point news . So this is that
04:30	ratio where it is the adjacent and the high pot
04:34	news . These are a couple of rules we're gonna
04:35	be using to . They've got their pads . Remember
04:38	the other one we do . I put it up
04:40	here . This calculator again , as we have this
04:42	one down here called Tad . And it's hand of
04:45	the tangent . Yeah . Is the relationship between the
04:50	opposite and the adjacent . Okay . The ratio between
04:53	these two the opposite the A choices . And you
04:58	might have seen in the past if I write these
05:01	letters out , okay . In that particular order ,
05:04	okay . We would end up with sign opposite of
05:07	what news because because I hired cars . I spelled
05:15	that incorrectly . I'll get rid of that . I
05:17	apologize . Ah . Mhm . Oh , hi .
05:22	H . Krockey . You know , very ahh .
05:29	This is not the way I think about necessarily all
05:31	the time . So , And then we end up
05:33	with tad equals opposite over adjacent . And look ,
05:37	some teachers are gonna probably have said to you in
05:38	the past and some people are gonna go , yeah
05:40	, we remember this because this word Sakar Tower ,
05:43	I don't never , I could never remember it like
05:46	this . I'll be honest about some people remember this
05:48	particular rules here because I remember this particular thing here
05:51	. We're gonna be using these rules in a second
05:53	. Okay , So this soccer toe , I think
05:58	I don't like it the way I actually remember this
06:00	is as follows , some old hags , old lady
06:04	. Some old hags can't always hack their old age
06:10	. Okay . That's the way I remember it .
06:11	Okay . You might have a different one that you
06:13	remember . Okay . Um , and if you do
06:15	place to comment , I always love to hear the
06:17	look there too . Do they contain profanity that I've
06:20	got to the leaders ? Okay . That's something I'd
06:23	like kids about two years . But uh you know
06:25	there's there's degrees of reasonable , reasonable with us .
06:28	Okay . Um So some old hags can't always hack
06:32	their old age . Some old hags can't always hack
06:35	their old age . Okay . So first off what's
06:39	really really important is that you can get a few
06:42	triangles and that you can identify these . In fact
06:45	, I'm gonna do that right now . What about
06:47	we get a triangle ? I'm gonna handle one down
06:49	here and see if you can go through and we're
06:55	gonna be talking about . I'll do it . Is
06:57	you want to start off with I want to know
06:59	compared to feta here . Theta which is a different
07:02	parts . So you wanna go Which ones first off
07:06	? Which one's the high pot news ? Your member
07:09	? That's the longest one . Yeah that's the dog
07:11	in the one that's this one . Hatch Which was
07:14	the one opposite theatre . That was the opposite .
07:18	Okay . Which was the one that's adjacent here .
07:21	That's the other one here . That's the one running
07:22	next year . So this is the adjacent . Okay
07:25	, what about if I draw another triangle up This
07:28	time I'm going to again , I should be putting
07:31	mother to a 90° symbol down there . What about
07:34	if we have say theater up here now ? Which
07:37	where is the opposite ? Well , first off ,
07:39	that's the high Point news which is a long one
07:41	here . Okay , that's this long one here .
07:43	The high point news . The opposite is we can
07:46	imagine looking to the opposite side . So this is
07:48	the opposite but the adjacent is the one running next
07:51	to them . Okay , So first off really ,
07:56	really important that you can go through and label these
07:59	. Okay , the next thing you want to be
08:01	able to do is you want to be able to
08:02	remember these particular rules because we are going to use
08:05	the you can label them , then you can remember
08:08	these rules . And what was that particular thing again
08:10	, if you remember it was sub old Hags .
08:16	Can't always pack their old age . Okay . And
08:24	there we go . So we're gonna be using these
08:27	. In fact , I'll tell you what , I'll
08:29	put up the next video because this one is going
08:30	to be running a little bit over at the moment
08:32	, so that the next video we're gonna start using
08:34	these . Okay ? So I'll see you then .
08:36	Okay , bye .

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