document.write( "Question 936612: if 3 sin theta-4 cos theta=5 find the value of (3 sin theta + 4 cos theta)\r
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Algebra.Com's Answer #570302 by Edwin McCravy(20055) $\"\"$ $\"About$

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$\"3sin%28theta%29-4cos%28theta%29=5\"$ find the value of $\"3sin%28theta%29%2B4cos%28theta%29\"$
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document.write( "Divide through by 5\r\n" );
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document.write( "Let  and  using this right triangle:\r\n" );
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document.write( "Multiply through by -1 and reverse terms on the left:\r\n" );
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document.write( "Now we recognize the left side as the identity for .\r\n" );
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document.write( "So \r\n" );
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document.write( "   , k an odd number\r\n" );
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document.write( "We want to find the value of  , so\r\n" );
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document.write( "            and  since k is odd.  So the above becomes:\r\n" );
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document.write( "And by the right triangle above that equals\r\n" );
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document.write( "Edwin

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