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Mathematics 20 Online
OpenStudy (dls):

If sin(...)

OpenStudy (dls):

\[\LARGE \sin(\sin^{-1}\frac{1}{5}+\cos^{-1}x)=1,~find~the~value~of~x\]

OpenStudy (anonymous):

1/5

OpenStudy (anonymous):

thisi s a trick

OpenStudy (dls):

HOW :O

OpenStudy (dls):

#genius!

OpenStudy (anonymous):

lol\[ \sin^{-1}{1\over5}+\left({\pi\over2}-\sin^{-1}(x)\right)={\pi\over2} \]

OpenStudy (dls):

:/ lol

OpenStudy (dls):

I see what you did there,but how did you simplify it?

OpenStudy (anonymous):

\[ \sin^{-1}{1\over5}+\left(\cancel{\pi\over2}-\sin^{-1}(x)\right)=\cancel{\pi\over2} \]

OpenStudy (dls):

oh great :D

OpenStudy (dls):

so \[\large \sin^{-1}x=\frac{1}{5}\] same for cos?

OpenStudy (anonymous):

what! \[\sin^{-1}x=\sin^{-1}{1\over5}\implies x={1\over 5}\]

OpenStudy (dls):

:/ silly me :P

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