Ask your own question, for FREE!
Mathematics 14 Online
OpenStudy (darkbluechocobo):

Help with trig pls

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

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

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 ?

OpenStudy (darkbluechocobo):

\[\frac{ 1*\sqrt2 }{ \sqrt2 * \sqrt2 }=\frac{ \sqrt2 }{ \sqrt4 }=\frac{ \sqrt2 }{ 2 }\]

OpenStudy (darkbluechocobo):

No I was just thinking wrong :p

OpenStudy (mathmath333):

yes thats correct !

OpenStudy (mathmath333):

so which option is correct ?

OpenStudy (darkbluechocobo):

so then \[\frac{ \sqrt10 }{ 2 }=\frac{ 2\sqrt5 }{ 2 }\]

OpenStudy (darkbluechocobo):

?

OpenStudy (mathmath333):

u found \(\large\tt \begin{align} \color{black}{\sin \theta =\dfrac{1}{\sqrt{5}}\hspace{.33em}\\}\end{align}\) right ?

OpenStudy (mathmath333):

and this is correct just u have to modify it as i showed u

OpenStudy (darkbluechocobo):

I thought you would recipricole for some reason

OpenStudy (mathmath333):

no i just have to change \(\large \sqrt{5}\) to \(\large 5\) in denominator

OpenStudy (mathmath333):

as i changed in \(\large \dfrac{1}{\sqrt{2}}\)

OpenStudy (darkbluechocobo):

so sqrt5 x sqrt5?

OpenStudy (mathmath333):

yes multiply both numerator and denominator by \(\huge \sqrt{5}\)

OpenStudy (darkbluechocobo):

so then would we combine the two together now?

OpenStudy (mathmath333):

yes

OpenStudy (darkbluechocobo):

so \[\frac{ 1 }{ 5 }*\frac{ \sqrt2 }{ 2 }=\frac{ \sqrt2 }{ 10 }\]

OpenStudy (mathmath333):

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

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

OpenStudy (mathmath333):

so which option is correct

OpenStudy (darkbluechocobo):

\[\frac{ \sqrt5 }{ 5 }*\frac{ \sqrt2 }{ 2 }=\frac{ 2\sqrt5 }{ 10 }\frac{ \sqrt5 }{ 5 }\]

OpenStudy (mathmath333):

?

OpenStudy (darkbluechocobo):

o.o did i do it wrong again s:

OpenStudy (mathmath333):

look at my solution \(\large\tt \begin{align} \color{black}{\dfrac{1}{\sqrt{5}}\\~\\ \dfrac{1\times \sqrt{5}}{\sqrt{5}\times \sqrt{5}}\\~\\ \dfrac{ \sqrt{5}}{5}\\~\\ \hspace{.33em}\\}\end{align}\)

OpenStudy (mathmath333):

and see the options now

OpenStudy (darkbluechocobo):

oh so we only had to focus on 1/sqrt5 then

OpenStudy (mathmath333):

yes :)

OpenStudy (mathmath333):

i hope u got the soln

OpenStudy (darkbluechocobo):

so this would be d then?

OpenStudy (mathmath333):

whiich option is \(\huge \dfrac{\sqrt{5}}{5}\)

OpenStudy (darkbluechocobo):

d

OpenStudy (mathmath333):

are u sure its \(\huge d\)

OpenStudy (darkbluechocobo):

lool As im looking at another problem

OpenStudy (darkbluechocobo):

*facepalm* once again

OpenStudy (darkbluechocobo):

its b

OpenStudy (mathmath333):

i think its \(\huge b\)

OpenStudy (darkbluechocobo):

Yehhh you are right xD

OpenStudy (mathmath333):

yes m right

OpenStudy (darkbluechocobo):

yeh was looking at problem 3 when this is 2 lool

OpenStudy (mathmath333):

lol

OpenStudy (darkbluechocobo):

Thanks for the help :D

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!