document.write( "Question 837736: solve for 0\n" ); document.write( "cos(x-20) = -0.437 giving your answers to the nearest degree \r
\n" ); document.write( "\n" ); document.write( "find the exact values of theta in the interval 0\n" ); document.write( "
Algebra.Com's Answer #504736 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
solve for 0\n" ); document.write( "cos(x-20) = -0.437 giving your answers to the nearest degree
\n" ); document.write( "arccos(-0.437) = 115.91 degrees
\n" ); document.write( "Solve:
\n" ); document.write( "x - 20 = 115.91
\n" ); document.write( "x = 134.91
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\n" ); document.write( "\n" ); document.write( "find the exact values of theta in the interval 0\n" ); document.write( "3 tan theta = 2cos theta
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\n" ); document.write( "3sin(t) = 2cos^2(t)
\n" ); document.write( "3sin(t) = (2)(1-sin^2)
\n" ); document.write( "2sin^2(t) + 3sin(t) - 2 = 0
\n" ); document.write( "sin(t) = [-3+-sqrt(9-4*2*-2)]/4
\n" ); document.write( "sin(t) = [-3+-sqrt(41]/4
\n" ); document.write( "sin(t) = 0.85 or sin(t) = -2.3508(extraneous)
\n" ); document.write( "t = arcsin(0.85) = 58.21 degrees or t = 180-58.21 = 121.79 degrees
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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