Mathematics
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OpenStudy (anonymous):
Help with sin, cos tan.
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OpenStudy (cggurumanjunath):
1/2 =sin 30
OpenStudy (cggurumanjunath):
sin 45 =opp/hyp =1/sqrt (2)
OpenStudy (cggurumanjunath):
go through above useful link @eoog .
OpenStudy (anonymous):
Yep I've been on it :P, not really understanding you just divide everything?
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OpenStudy (cggurumanjunath):
are u familiar with above link ? @eoog
OpenStudy (cggurumanjunath):
do u see a triangle over there ? @eoog
OpenStudy (anonymous):
On that link? yes
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OpenStudy (anonymous):
If 1/2 =sin 30 does that make it 0.707?
OpenStudy (cggurumanjunath):
ok
OpenStudy (cggurumanjunath):
wait A sec !
OpenStudy (cggurumanjunath):
b familiar with opposites and other side .
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OpenStudy (anonymous):
So in my case the hypo is the line with 1 and sqrt 3 on it?
OpenStudy (cggurumanjunath):
wait forget about the problem for a while ,first familiarise with the concept.
OpenStudy (cggurumanjunath):
is above 2 triangles link clear @eoog
OpenStudy (anonymous):
All these are saying the hypo is the top line, is that true for every problem? the longest line on top?
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OpenStudy (cggurumanjunath):
hypo is always the longest side .
OpenStudy (anonymous):
Okay then I know you said forget about the problem but in this case the longest line is the bottom line can that be the hypo?
OpenStudy (cggurumanjunath):
no here there are 2 triangles combined !
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OpenStudy (anonymous):
Oh okay so the hypo is the line with the 2, now for the (0) is that always above the square?
OpenStudy (cggurumanjunath):
hypo is 2 and sqrt (2) in the triangle ! remember there are 2 hypo s here !
OpenStudy (cggurumanjunath):
side opp to 90 degrees is ur hypo !
OpenStudy (anonymous):
So which do I know what do first? It's 2,1 and sq2 1
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OpenStudy (cggurumanjunath):
wait a sec.
OpenStudy (cggurumanjunath):
it depends on the angle given !
OpenStudy (anonymous):
Oh! so since this gives us 30
OpenStudy (cggurumanjunath):
say for 30 deg in right side triangle ! sin(30) =opp/hyp
OpenStudy (anonymous):
Okay okay I'm starting to understand that now, now how do we move on to finding the conclusion 2 divided by 1?
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OpenStudy (cggurumanjunath):
opp side is the side opp to given angle
OpenStudy (anonymous):
hypo is 2 opposite in 1 in this case right?
OpenStudy (cggurumanjunath):
good
OpenStudy (cggurumanjunath):
sin (30) = opp / hyp =1/2
OpenStudy (cggurumanjunath):
now can u define sin (45) similarly @eoog ?
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OpenStudy (anonymous):
Yes I'll give it a shot, but to clarify 1/2 is the solution to sin 30? o.o
OpenStudy (cggurumanjunath):
yes
OpenStudy (anonymous):
OH before I do 45 for example sin (45) opp/hyp 1/ sq2, does the opp/hypo every switch places? for example hypo/opp
OpenStudy (cggurumanjunath):
sin (45) use left side of the triangle
OpenStudy (cggurumanjunath):
no
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OpenStudy (cggurumanjunath):
sin ( any angle ) =opp / hyp only !
OpenStudy (anonymous):
so 45 would be 1/ sqrt2?
OpenStudy (cggurumanjunath):
yes
OpenStudy (cggurumanjunath):
cos (30) = ?
OpenStudy (cggurumanjunath):
cos (any angle ) in terms of sides is what ratio @eoog ?
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OpenStudy (anonymous):
I'm confused? Isn't con adj/hypo??
OpenStudy (cggurumanjunath):
yes
OpenStudy (cggurumanjunath):
hypo is the longest side in any triangle and opp is found by side opp to given angle !
OpenStudy (cggurumanjunath):
remaining is ur adj
OpenStudy (cggurumanjunath):
cos = adj/hypo
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OpenStudy (anonymous):
so adj to 30 is sq3
OpenStudy (cggurumanjunath):
yes
OpenStudy (anonymous):
so sq3/2?
OpenStudy (cggurumanjunath):
:)
OpenStudy (cggurumanjunath):
now cos (60) u find similarly and this is the last one.
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OpenStudy (anonymous):
Oh (60) is in the other triangle?
OpenStudy (cggurumanjunath):
cos (30) = (sqrt 3) /2 is right .
OpenStudy (anonymous):
Wait no it's not, so I'm confused how we would do this
OpenStudy (cggurumanjunath):
do it similarly
OpenStudy (cggurumanjunath):
cos = adj/hypo
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OpenStudy (cggurumanjunath):
tell me adj in right side triangle
OpenStudy (anonymous):
isn't it still sq3? we aren't using the other triangle right?
OpenStudy (anonymous):
I'm confused on how it isn't the same answer as cos 30
OpenStudy (cggurumanjunath):
c here there are 2 triangles combined ! don't get confused , concentrate on the angles
OpenStudy (cggurumanjunath):
one triangle that is on left side has only 45 deg angle only one angle
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OpenStudy (cggurumanjunath):
one triangle that is on right side has 60 deg and 30 deg angle - two angles
OpenStudy (cggurumanjunath):
60 deg angle lies to the left or right u tell me this @eoog
OpenStudy (anonymous):
The top let, so does it go into the both triangles?
OpenStudy (cggurumanjunath):
60 deg angle lies to the right isn't it ?
OpenStudy (anonymous):
Well here's where I'm confused with 30 deg 60 is in the top left with 45 deg it's in the top right, can you use 60 for both triangles?
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OpenStudy (anonymous):
if that's the case then cos 60 is 1/sq2?
OpenStudy (anonymous):
Thank you for that, now this is the question I don't understand, you see how 60 is in abc can it also be in acd?
OpenStudy (cggurumanjunath):
abc and acd are 2 triangles
OpenStudy (cggurumanjunath):
60 is in acb only !
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OpenStudy (cggurumanjunath):
why r u confusing ur self unnecessarily how can 60 lie in acd ?
OpenStudy (anonymous):
Well I don't know because if it doesn't then isn't cos (60) the same answer as cos (30)
OpenStudy (cggurumanjunath):
60 degrees lies in acb triangle
OpenStudy (cggurumanjunath):
cos (30) =adj/hyp = (sqrt 3)/2
cos (60) =adj/hyp = 1/2
OpenStudy (cggurumanjunath):
30 degrees and 60 degrees both lie in triangle acb only .
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OpenStudy (anonymous):
Okay I understand that now but can you explain how you go 1/2? isn't one the opposite?
OpenStudy (anonymous):
Do you flip the triangle? wouldn't it be the same?
OpenStudy (cggurumanjunath):
go through above link for cos (30)
OpenStudy (anonymous):
Yep I understand that :) how to get the outcome of (60) I'm a little confused
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OpenStudy (cggurumanjunath):
go through above link for cos (60)
OpenStudy (anonymous):
Yes! you see I'm reading a link you sent me earlier and it says
OpenStudy (anonymous):
adj is always next to the angle so I can see now how the adj moved to 1 instead of sq3
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OpenStudy (cggurumanjunath):
no ! adj is not always next to the angle