document.write( "Question 1152029: Eliminate θ from these equation
\n" ); document.write( "(i) x = sinθ + tanθ, y = sinθ - tanθ
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Algebra.Com's Answer #773924 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " In my post, I will solve part (ii) only.\r
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document.write( "Start from the standard trigonometry identity\r\n" );
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document.write( "     = .            (1)\r\n" );
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document.write( "From the given part of  (ii),  \r\n" );
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document.write( "     =   and   = .     (2)\r\n" );
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document.write( "Now replace in (1)    by    and  replace    by  ,  based on (2).  You will get\r\n" );
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document.write( "     = .                 (3)\r\n" );
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document.write( "Thus we just eliminated    and obtained  the relationship  (the equation) for x and y.\r\n" );
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document.write( "The goal is reached:  the problem is just solved in this way.\r\n" );
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document.write( "You may simplify the equality  (4)  further as you want.\r\n" );
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