Conversions maybe, I am lost again.
An acute angle θ is in a right triangle with sin θ = . What is the value of cot θ?
cot θ=\[\sqrt{cosec^2 θ+1}=\sqrt{(1/\sin^2 θ)+1}\]
I am still lost
you know 1+cosec^2 θ=cot^2 θ?????????
ah ok, could you help me to translate that into the fraction form
means???????????
like sqrt 7 / 4
\[\sqrt7/4\]
i think you are lost because something is missing in the question
An acute angle θ is in a right triangle with sin θ =???? . What is the value of cot θ?
I am supposed to find cot theta
do you know what \(\sin(\theta)\) is? or do you have to answer in terms of sine?
sin theta=3/4
well now we can do it
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you need the other side, can you find it?
ah ok, I guess I just needed the picture, but I think the other side is 3
I feel like such a noob.
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
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 \(a\)
solving via \[a^2+9=16\] \[a^2=7\] \[a=\sqrt{7}\]
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now you can find anything you like cosine sine tangent cotangent secant cosecant
ah ok
now I think I can finish the quiz with out having to ask for answers.
Thank you.
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