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OpenStudy (darkbluechocobo):
OpenStudy (darkbluechocobo):
so it would \[\frac{ 1 }{ \sqrt5 }\]
OpenStudy (darkbluechocobo):
because sin is opposite/hypotenuse
OpenStudy (mathmath333):
yes it is indeed \(\huge \dfrac{1}{\sqrt{5}}\) but still options are correct
OpenStudy (darkbluechocobo):
Well Im confused with the options
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OpenStudy (darkbluechocobo):
how it involves \[2\sqrt5\]
OpenStudy (mathmath333):
the options are just cleverly modified to confuse the students
\(\large\tt \begin{align} \color{black}{hint:\hspace{.33em}\\\dfrac{1}{\sqrt{2}}\hspace{.33em}\\
=\dfrac{1\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}\hspace{.33em}\\}\end{align}\)
OpenStudy (darkbluechocobo):
so one of the sqrt of 2s would cancel leavin 1/sqrt2
OpenStudy (mathmath333):
yes that could happen but also this could happen
\(\large\tt \begin{align} \color{black}{hint:\hspace{.33em}\\\dfrac{1}{\sqrt{2}}\hspace{.33em}\\
=\dfrac{1\times \sqrt{2}}{\sqrt{2}\times \sqrt{2}}\hspace{.33em}\\
=\dfrac{\sqrt{2}}{2}\hspace{.33em}\\
}\end{align}\)
OpenStudy (mathmath333):
does it helps
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OpenStudy (darkbluechocobo):
Could you explain a bit how it ends like that ?
OpenStudy (darkbluechocobo):
Oh nevermind
OpenStudy (darkbluechocobo):
i just thinking wrong
OpenStudy (mathmath333):
well
\(\large\tt \begin{align} \color{black}{\sqrt{2}\times \sqrt{2}=2\hspace{.33em}\\~\\
\text{just like }\\~\\
\sqrt{4}\times \sqrt{4}=2\times 2=4\hspace{.33em}\\~\\
}\end{align}\)
OpenStudy (mathmath333):
still stuck ?
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lol no why are u putting \(\sqrt{2}\) here i showed that as example
OpenStudy (mathmath333):
see if it makes sense
\(\large\tt \begin{align} \color{black}{\dfrac{1}{\sqrt{5}}\\~\\
\dfrac{1\times \sqrt{5}}{\sqrt{5}\times \sqrt{5}}\\~\\
\dfrac{ \sqrt{5}}{5}\\~\\
\hspace{.33em}\\}\end{align}\)
OpenStudy (darkbluechocobo):
*facepalm*
OpenStudy (mathmath333):
i see face palm lol
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OpenStudy (darkbluechocobo):
lool sorry im still getting use to all this ._. this is like my first trig chapter in precal
OpenStudy (darkbluechocobo):
even though it was just me forgetting once again lool