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satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1it is easiest to do it with a picture of a triangle dw:1354676626218:dw

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1that is a picture of a triangle with angle \(x\) and with \(\tan(x)=2\) so \(x=\arctan(2)\) and you are looking for \(\sin(\arctan(2))=\sin(\arctan(x))\) to find it you need the hypotenuse of the triangle. by pythagoras it is \[\sqrt{2^2+1^2}=\sqrt{5}\]

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1sorry i meant you are looking for \(\sin(x)\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1now we have completed the triangle dw:1354676824808:dw

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1and \(\sin(x)=\sin(\arctan(2))=\frac{2}{\sqrt{5}}\)

satellite73
 2 years ago
Best ResponseYou've already chosen the best response.1yw, sorry about the typo
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