Comparing Trigonometric and Fractional Values: Which is Greater?

[anemone]

Which number is bigger, $\sin 1-\cos 1$ or $\dfrac{1}{4}$?

 

[DaalChawal]

Is the answer $sin1 - cos1$

 

[HOI]

What does a calculator give for sin(1)- cos(1)?

 

[DaalChawal]

I don't know I just used expansion for this.

 

[anemone]

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)