document.write( "Question 189614: Hi-- I am really struggling with this problem. I can't seem to get the right answer. If you could help me, that would be greatly appreciated. Thanks! :)\r
\n" ); document.write( "\n" ); document.write( "Find sin theta/2, given that sin theta=1/4, and theta terminates in quadrant I. \r
\n" ); document.write( "\n" ); document.write( "Answer Options:\r
\n" ); document.write( "\n" ); document.write( "A. sqrt (8+2sqrt15 /4) \r
\n" ); document.write( "\n" ); document.write( "B. sqrt (8-2sqrt15 /4)\r
\n" ); document.write( "\n" ); document.write( "C. sqrt (6) / 4\r
\n" ); document.write( "\n" ); document.write( "D. sqrt (10) / 4\r
\n" ); document.write( "\n" ); document.write( "I have tried this problem, but this is what I got: \r
\n" ); document.write( "\n" ); document.write( "sin theta = 1/4, theta lies in Quadrant I\r
\n" ); document.write( "\n" ); document.write( "sin theta/2 = √[(1-cos theta)/2]\r
\n" ); document.write( "\n" ); document.write( "since sin theta = 1/4, then cos theta = √15/ 4.\r
\n" ); document.write( "\n" ); document.write( "sin theta/2 = √([1 - √15/4]/ 2) = √[(4 - √15)/8] = [√2(4-√15)]/4 : This is not one of my answer choices.
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Algebra.Com's Answer #142290 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Find sin theta/2, given that sin theta=1/4, and theta terminates in quadrant I.
\n" ); document.write( "Answer Options:
\n" ); document.write( "A. sqrt (8+2sqrt15 /4)
\n" ); document.write( "B. sqrt (8-2sqrt15 /4)
\n" ); document.write( "C. sqrt (6) / 4
\n" ); document.write( "D. sqrt (10) / 4
\n" ); document.write( "I have tried this problem, but this is what I got:
\n" ); document.write( "sin theta = 1/4, theta lies in Quadrant I
\n" ); document.write( "sin theta/2 = √[(1-cos theta)/2]
\n" ); document.write( "since sin theta = 1/4, then cos theta = √15/4
\n" ); document.write( "sin theta/2 = √([1 - √15/4]/ 2) = √[(4 - √15)/8] = [√2(4-√15)]/4 : This is not one of my answer choices.
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\n" ); document.write( "since sin theta = 1/4, then cos theta = √15/4
\n" ); document.write( "sin(t/2) = \"sqrt%281-%28sqrt%2815%29%2F4%29%2F2%29\"
\n" ); document.write( "-----------------
\n" ); document.write( "= \"sqrt%281%2F2+-+sqrt%2815%29%2F8%29\"
\n" ); document.write( "---------------
\n" ); document.write( "= \"sqrt%284%2F8+-+sqrt%2815%29%2F8%29\"
\n" ); document.write( "= \"sqrt%288%2F16+-+2sqrt%2815%29%2F16%29\"
\n" ); document.write( "= \"sqrt%288+-+2sqrt%2815%29%29%2F4\"
\n" ); document.write( "That's choice B, except the 4 is outside the radical.\r
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