document.write( "Question 675195: Which of the following is correct?
\n" ); document.write( " (a) cos(.1) < sin(.1) < sin(.1)cos(.1)
\n" ); document.write( " (b) sin(.1)cos(.1) < sin(.1) < cos(.1)
\n" ); document.write( " (c) cos(.1) < sin(.1)cos(.1) < sin(.1)
\n" ); document.write( " (d) sin(.1) < cos(.1) < sin(.1)cos(.1)
\n" ); document.write( " (e) sin(.1) < sin(.1)cos(.1) < cos(.1)
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Algebra.Com's Answer #419617 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
For x's less than \"pi%2F4\", cos(x) > sin(x). So this rules out (a) and (c) since they have cos < sin. So only (b), (d) or (e) can be correct.

\n" ); document.write( "Next, when a number is multiplied by a number between 0 and 1, the result is smaller. (Remember this if/when you take the SAT!) cos(.1) and sin(.1) are both numbers between 0 and 1. So when we multiply cos(.1)*sin(.1) we end up with a result that is smaller than both!

\n" ); document.write( "So the product of cos(.1) and sin(.1) is the smallest number, cos(.1) is the largest and sin(.1) will be the in-between number. Answer (b) has these in the right order.
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