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Mathematics 12 Online
OpenStudy (anonymous):

Conversions maybe, I am lost again.

OpenStudy (anonymous):

An acute angle θ is in a right triangle with sin θ = . What is the value of cot θ?

OpenStudy (anonymous):

cot θ=\[\sqrt{cosec^2 θ+1}=\sqrt{(1/\sin^2 θ)+1}\]

OpenStudy (anonymous):

I am still lost

OpenStudy (anonymous):

you know 1+cosec^2 θ=cot^2 θ?????????

OpenStudy (anonymous):

ah ok, could you help me to translate that into the fraction form

OpenStudy (anonymous):

means???????????

OpenStudy (anonymous):

like sqrt 7 / 4

OpenStudy (anonymous):

\[\sqrt7/4\]

OpenStudy (anonymous):

i think you are lost because something is missing in the question

OpenStudy (anonymous):

An acute angle θ is in a right triangle with sin θ =???? . What is the value of cot θ?

OpenStudy (anonymous):

I am supposed to find cot theta

OpenStudy (anonymous):

do you know what \(\sin(\theta)\) is? or do you have to answer in terms of sine?

OpenStudy (anonymous):

sin theta=3/4

OpenStudy (anonymous):

well now we can do it

OpenStudy (anonymous):

|dw:1355237221523:dw|

OpenStudy (anonymous):

you need the other side, can you find it?

OpenStudy (anonymous):

ah ok, I guess I just needed the picture, but I think the other side is 3

OpenStudy (anonymous):

I feel like such a noob.

OpenStudy (anonymous):

actually you are not a noob. no one was born knowing this, you have to learn it but what you need to learn is pythagoras, a theorem that in fact was known by the ancient babylonians around 3500 years ago

OpenStudy (anonymous):

if you have a right triangle with legs of length \(a\) and \(b\) and hypotenuse \(h\) then \[a^2+b^2=h^2\] you need this for all trig, but it is not that hard to memorize in this case we have \(a^2+3^2=4^2\) and you need \(a\)

OpenStudy (anonymous):

solving via \[a^2+9=16\] \[a^2=7\] \[a=\sqrt{7}\]

OpenStudy (anonymous):

|dw:1355237707121:dw|

OpenStudy (anonymous):

now you can find anything you like cosine sine tangent cotangent secant cosecant

OpenStudy (anonymous):

ah ok

OpenStudy (anonymous):

now I think I can finish the quiz with out having to ask for answers.

OpenStudy (anonymous):

Thank you.

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