Which is bigger, sin 1 − cos 1 or 1/4?

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Which number is bigger, $\sin 1-\cos 1$ or $\dfrac{1}{4}$?
 
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DaalChawal said:
Is the answer $sin1 - cos1$
Yeap!(Cool) For your information, a challenge problem posted in this sub forum is meant for the interested members to post not only the final answer, but also the method of solving as well. (Nod)