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Mathematics 19 Online
OpenStudy (anonymous):

What is cos A? 3/4 4/3 3/5 4/5

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

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?

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!

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?

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?

OpenStudy (anonymous):

@UnkleRhaukus

OpenStudy (unklerhaukus):

|dw:1431754561884:dw|

OpenStudy (anonymous):

So it is 4/5?

OpenStudy (unklerhaukus):

yes

OpenStudy (anonymous):

Thanks so much guys!:)

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!

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]

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

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

OpenStudy (unklerhaukus):

good!, remember this.

OpenStudy (anonymous):

I will now! Thanks so much:)

OpenStudy (anonymous):

Yes, is 3/5 tan = op / ady

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