having a hard time with sin, cos, and tan with that zero like thing next to it (I don't remember the name). Help?
\(\sin(\theta)\) ?
Yes, that.
I'm needing to find the tan, sin, and cos for that triangle and it's online course so i don't really have any help.
sine is opposite over hypotenuse you find the opposite side by pythagoras
lets call that side \(b\) then pythagoras tells you that \[10^2+b^2=12^2\] \[b^2=144-100\] \[b^2=44\] \[b=\sqrt{44}=2\sqrt{11}\]
I get to the point in solving the problem where you do the square root of blank = A and then i get lost.
|dw:1352402401823:dw|
I don't understand how you got that or what its for.
now it is a matter of knowing the ratios \[\sin(\theta)=\frac{2\sqrt{11}}{12}=\frac{\sqrt{11}}{6}\] \[\cos(\theta)=\frac{10}{12}=\frac{5}{6}\] \[\tan(\theta )=\frac{2\sqrt{11}}{10}=\frac{\sqrt{11}}{5}\]
Oh! so you simplified ?
I'm sorry I'm terrible when it comes to math..
|dw:1352402616743:dw| \[a^2+b^2=c^2\] if you know any two of the numbers you can find the third
you get \[10^2+b^2=12^2\] \[100+b^2=144\] \[b^2=44\] \[b=\sqrt{44}\]
I understand the a2+b2=c2 but I get through like maybe 3 steps and et confused.
are those steps ok?
Yes. It's right after that last step I don't know what to do.
I have a dvd that explains stuff for these problems and he's saying you multiply something to get some letter and im just not sure whats going on.
\[44=4\times 11\] \[\sqrt{44}=\sqrt{4\times 11}=\sqrt{4}\times \sqrt{11}=2\sqrt{11}\]
it is just another way to write \(\sqrt{44}\) so you can figure out how to cancel when you take the ratios
Ok, so you take the number (44), then do the square root of 4 and 11 since they make 44 when multiplied then how did you get 2 sqrt 11?
i know that the square root of 4 is 2 so i replace \(\sqrt{4}\) by \(2\) i don't know what the square root of 11 is, so i just leave it as \(\sqrt{11}\)
Oh! Okay. This is making more sense now. Thank you so much for your time/help!
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