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Mathematics 18 Online
OpenStudy (anonymous):

Help with sin, cos tan.

OpenStudy (cggurumanjunath):

1/2 =sin 30

OpenStudy (cggurumanjunath):

sin 45 =opp/hyp =1/sqrt (2)

OpenStudy (cggurumanjunath):

http://www.mathsisfun.com/sine-cosine-tangent.html

OpenStudy (cggurumanjunath):

go through above useful link @eoog .

OpenStudy (anonymous):

Yep I've been on it :P, not really understanding you just divide everything?

OpenStudy (cggurumanjunath):

http://prntscr.com/2m6057

OpenStudy (cggurumanjunath):

are u familiar with above link ? @eoog

OpenStudy (cggurumanjunath):

click on this link http://prntscr.com/2m6057

OpenStudy (cggurumanjunath):

do u see a triangle over there ? @eoog

OpenStudy (anonymous):

On that link? yes

OpenStudy (anonymous):

If 1/2 =sin 30 does that make it 0.707?

OpenStudy (cggurumanjunath):

ok

OpenStudy (cggurumanjunath):

wait A sec !

OpenStudy (cggurumanjunath):

click on this link http://prntscr.com/2m61w8

OpenStudy (cggurumanjunath):

b familiar with opposites and other side .

OpenStudy (anonymous):

So in my case the hypo is the line with 1 and sqrt 3 on it?

OpenStudy (cggurumanjunath):

click on this link http://prntscr.com/2m62dx

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?

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):

click on this link http://prntscr.com/2m63q6

OpenStudy (cggurumanjunath):

no here there are 2 triangles combined !

OpenStudy (cggurumanjunath):

click on this link http://prntscr.com/2m63q6

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):

click on this link http://prntscr.com/2m64c8

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

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?

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 ?

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

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 ?

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

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.

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

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

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?

OpenStudy (anonymous):

if that's the case then cos 60 is 1/sq2?

OpenStudy (cggurumanjunath):

go through this link ,i have named the triangles ! http://prntscr.com/2m6e22

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 !

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 .

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):

http://prntscr.com/2m6h3c

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

OpenStudy (cggurumanjunath):

http://prntscr.com/2m6htf

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

OpenStudy (cggurumanjunath):

go through the link for cos (30) http://prntscr.com/2m6ihr

OpenStudy (cggurumanjunath):

no ! adj is not always next to the angle

OpenStudy (anonymous):

http://prntscr.com/2m62dx

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