Problem of a problem

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Perseus n Harry
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Problem of a problem

Unread post by Perseus n Harry » Wed Mar 20, 2013 12:47 am

I was given a problem by my friend Prosenjit Basak. The problem is : (sin(sin(sin x)))=(cos(cos(cos x))),then what is the value of x?Please explain the matter. :?: :idea: :arrow:
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Phlembac Adib Hasan
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Re: Problem of a problem

Unread post by Phlembac Adib Hasan » Wed Mar 20, 2013 9:05 pm

For example, let $x=45^\circ$
Then $\sin x=\dfrac {1}{\sqrt{2}}$
And $\sin (\sin x))=\sin \left (\dfrac {1}{\sqrt{2}} \right )^\circ$

I hope it's clear now.

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*Mahi*
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Re: Problem of a problem

Unread post by *Mahi* » Thu Mar 21, 2013 10:50 am

Phlembac Adib Hasan wrote:For example, let $x=45^\circ$
Then $\sin x=\dfrac {1}{\sqrt{2}}$
And $\sin (\sin x))=\sin \left (\dfrac {1}{\sqrt{2}} \right )^\circ$

I hope it's clear now.
It is most probably supposed to be in radian, as $\sin 45^\circ = \frac 1 {\sqrt 2}$, not $(\frac 1 {\sqrt 2}) ^\circ$
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