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OpenStudy (anonymous):
OpenStudy (unklerhaukus):
The cosine of an angle (in a right angles triangle), is the ratio of the adjacent side, to the hypotenuse
OpenStudy (anonymous):
Im lost...
OpenStudy (anonymous):
3/5?
OpenStudy (unklerhaukus):
Can you identify the length of the hypotenuse? the length of the longs side in the triangle?
And the adjacent side is the side of the triangle connected to the angle
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OpenStudy (anonymous):
No?
OpenStudy (unklerhaukus):
..., yeah 5 is the hypotenuse, and 3 is the adjacent side
OpenStudy (anonymous):
So the answer is 3/5?
OpenStudy (unklerhaukus):
so you got it
cos A = adj/ hypo = 3/5
OpenStudy (anonymous):
I have one more, can you help?
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OpenStudy (unklerhaukus):
Yes \[\color{red}\checkmark \]
OpenStudy (anonymous):
Same photo!
OpenStudy (unklerhaukus):
ok are you looking for the Sine or Tangent this time?
OpenStudy (anonymous):
What is sin A?
3/4
4/3
3/5
4/5
OpenStudy (anonymous):
Actually its a different photo!
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OpenStudy (unklerhaukus):
the sine of the angle is the ratio: of the opposite side, to the hypotenuse
OpenStudy (anonymous):
OpenStudy (unklerhaukus):
sure the file is different, but the image is the same,
the hypotenuse is still 5, but what is the opposite side?;
the side opposite to the angle A?
OpenStudy (anonymous):
4? or 3?
OpenStudy (anonymous):
either 3/5 or 4/5? right?
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OpenStudy (unklerhaukus):
3 was the adjacent side,
OpenStudy (anonymous):
4/5
OpenStudy (unklerhaukus):
we want the opposite side for sine
OpenStudy (unklerhaukus):
one of those
OpenStudy (anonymous):
Is @robtobey correct?
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OpenStudy (anonymous):
@UnkleRhaukus
OpenStudy (unklerhaukus):
|dw:1431754561884:dw|
OpenStudy (anonymous):
So it is 4/5?
OpenStudy (unklerhaukus):
yes
OpenStudy (anonymous):
Thanks so much guys!:)
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OpenStudy (unklerhaukus):
Now, what is the tangent of A?
can you remember the ratio for the tangent
tan A = ? / ??
OpenStudy (anonymous):
adj/ hypo?
OpenStudy (anonymous):
Wait that's wrong for tan isn't it?
OpenStudy (unklerhaukus):
that is cosine again
OpenStudy (anonymous):
Thought so!
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OpenStudy (anonymous):
Hypo/ opposite side?
OpenStudy (unklerhaukus):
the mnemonic i use, is
SOH CAH TOA
sine = opp/hypo
cos= adj/hypo
tan =
OpenStudy (anonymous):
Hmmmm.. Thinking
OpenStudy (anonymous):
tan = sin/cos
OpenStudy (unklerhaukus):
[the tan ratio doesn't have the hypotenuse in it]
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OpenStudy (unklerhaukus):
yes, you could work it out that way
tan = sin / cos
= (opp/hypo) / (adj/hypo)
=
OpenStudy (unklerhaukus):
(the hypos cancel.... and you get....)
OpenStudy (anonymous):
Which is equal to tan x?
a sin x + cos x
b sin x - cos x
c cos x / sin x
d sin x /cos x
OpenStudy (anonymous):
D?
OpenStudy (unklerhaukus):
yep
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OpenStudy (unklerhaukus):
because
tan = opp/adj
sin/cos = (opp/hypo) / (adj/hypo)
= opp / adj
OpenStudy (anonymous):
Sin = Opp / Hyp
Cos = Adj / Hyp
Tan = Sin / Cos = Opp / Adj