document.write( "Question 1180758: please help me. what is \r
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document.write( "_________1_________________ = sin theta
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document.write( "cot theta sec theta
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Algebra.Com's Answer #810520 by Theo(13342)![]() ![]() You can put this solution on YOUR website! see my worksheet below.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i used x instead of theta. \n" ); document.write( "no change in the formulas except a change of variable name.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 1 shows the original equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 2 changes cot(x) to equivalent form of 1/tan(x). and changes sec(x) to equivalent form of 1/co(x).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 3 converts 1/(1/tan(x)) to equivalent form of tan(x) and converts 1/(1/cos(x)) to equivalent form of cos(x).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "note that 1/tan(x) * 1/cos(x) is equivalent to 1 / (tan(x)*cos(x)) and that 1 / (1 / (tan(x)*cos(x))) = tan(x) * cos(x).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 4 converts tan(x) to equivalent form of sin(x) / cos(x).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "step 5 cancels cos(x) in numberator and denominator, leaving sin(x) = sin(x) which is true.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the original equation is confirmed to be true.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |