document.write( "Question 101199: find the exact value of each.\r
\n" ); document.write( "\n" ); document.write( "a. cos(theta)/2 if sin(theta)=12/13 and 0\n" ); document.write( "
\n" ); document.write( "b. sin[cos^-1(0) - sin^-1(1/2)]
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Algebra.Com's Answer #73661 by Nate(3500)\"\" \"About 
You can put this solution on YOUR website!
a. cos(theta)/2 if sin(theta) = 12/13 and 0 < theta < 90 degrees
\n" ); document.write( "cos(theta)^2 = 1 - sin(theta)^2
\n" ); document.write( "cos(theta) = sqrt( 1 - sin(theta)^2 )
\n" ); document.write( "cos(theta) = sqrt( 1 - (12/13)^2 ) or cos(theta) = sqrt( 1 - 0^2 )
\n" ); document.write( "cos(theta) = sqrt( 25/169 ) or cos(theta) = sqrt( 1 )
\n" ); document.write( "cos(theta) = 5/13 or cos(theta) = 1 *cos(theta) = 1 for theta = 0 ~ Cancel
\n" ); document.write( "cos(theta)/2 = 5/26\r
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\n" ); document.write( "\n" ); document.write( "b. sin[cos^-1(0) - sin^-1(1/2)]
\n" ); document.write( "sin[pi/2 - pi/6]
\n" ); document.write( "sin[pi/3]
\n" ); document.write( "sqrt(3)/2
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