document.write( "Question 236926: Find sin(x/2), cos(x/2), and tan(x/2) from the given information\r
\n" ); document.write( "\n" ); document.write( "tan(x)=2; 0 degrees< x <90 degrees \n" ); document.write( "
Algebra.Com's Answer #174269 by Alan3354(69443)\"\" \"About 
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Find sin(x/2), cos(x/2), and tan(x/2) from the given information
\n" ); document.write( "tan(x)=2; 0 degrees< x <90 degrees
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\n" ); document.write( "tan = 2
\n" ); document.write( "tan^2 = 4
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\n" ); document.write( "sin^2/(1-sin^2) = 4
\n" ); document.write( "sin^2 = 4 - 4sin^2
\n" ); document.write( "5sin^2 = 4
\n" ); document.write( "sin^2 = 4/5
\n" ); document.write( "sin(x) = 2sqrt(5)/5
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\n" ); document.write( "cos^2 = 1/5
\n" ); document.write( "cos(x) = sqrt(5)/5
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\n" ); document.write( "Do 1/2 angles
\n" ); document.write( "sin(x/2) = sqrt((1 - cos(x)/2)
\n" ); document.write( "sin(x/2) = sqrt((1 - sqrt(5)/5)/2)
\n" ); document.write( "sin(x/2) = sqrt(0.5 - sqrt(5)/10)
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\n" ); document.write( "cos(x/2) = sqrt((1 + cos(x)/2)
\n" ); document.write( "sin(x/2) = sqrt((1 + sqrt(5)/5)/2)
\n" ); document.write( "sin(x/2) = sqrt(0.5 + sqrt(5)/10)
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\n" ); document.write( "tan(x/2) = sin(x)/(1 + cos(x))
\n" ); document.write( "tan(x/2) = 0.4sqrt(5)/(1 + sqrt(5)/5)
\n" ); document.write( "tan(x/2) = 2sqrt(5)/(5 + sqrt(5))
\n" ); document.write( "tan(x/2) = 2sqrt(5)*(5 - sqrt(5))/20
\n" ); document.write( "tan(x/2) = 0.5sqrt(5) - 0.5
\n" ); document.write( "tan(x/2) = (sqrt(5) - 1)/2
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