document.write( "Question 1202659: Simplify \r
\n" ); document.write( "\n" ); document.write( "secθ−sinθtanθ \n" ); document.write( "
Algebra.Com's Answer #837634 by Theo(13342)\"\" \"About 
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expression is sec(theta) - sin(theta)*tan(theta)
\n" ); document.write( "sec(theta) is equal to 1/cos(theta)
\n" ); document.write( "tan(theta) is equal to sin(theta) / cos(theta)
\n" ); document.write( "expression becomes 1/cos(theta) - sin^2(theta)/cos(theta)
\n" ); document.write( "simplify to get (1 - sin^2(theta) / cos(theta)
\n" ); document.write( "1 - sin^2(theta is equal to cos^2(theta)
\n" ); document.write( "expression becomes cos^2(theta) / cos(theta) which is equal to cos(theta).
\n" ); document.write( "original expression is sec(theta) - sin(theta)*tan(theta)
\n" ); document.write( "simplified expression is cos(theta)
\n" ); document.write( "confirm by using your calculator and assigning an angle randomly between 0 and 360.
\n" ); document.write( "i chose 235 degrees.
\n" ); document.write( "original expression becomes sec(235) - sin(235)*tan(235) = -.5735764364.
\n" ); document.write( "simplified expression becomes cos(235) = .5735764364.
\n" ); document.write( "they're the same value, confirming the simplification was successful.\r
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