document.write( "Question 1196621: If sin(x) = 1/3 and sec(y) = 13/12, where x and y lie between 0 and 𝜋/2,
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Algebra.Com's Answer #829544 by ikleyn(52879)\"\" \"About 
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\n" ); document.write( "If sin(x) = 1/3 and sec(y) = 13/12, where x and y lie between 0 and 𝜋/2,
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document.write( "If sin(x) = 1/3 and x lies between 0 and 𝜋/2,  then  \r\n" );
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document.write( "   cos(x) = \"sqrt%281-sin%5E2%28x%29%29\" = \"sqrt%281-%281%2F3%29%5E2%29\" = \"sqrt%288%29%2F3\".\r\n" );
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document.write( "If sec(y) = 13/12,  then  \r\n" );
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document.write( "   cos(y) = \"1%2Fsec%28y%29\" = 12/13  and  sin(y) = \"sqrt%281-cos%5E2%28y%29%29\" = \"sqrt%281-%2812%2F13%29%5E2%29\" = \"5%2F13\".\r\n" );
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document.write( "sin(x-y) = sin(x)*cos(y) - cos(x)*sin(y) = \"%281%2F3%29%2A%2812%2F13%29+-+%28sqrt%288%29%2F3%29%2A%285%2F13%29\" = \"%2812-5%2Asqrt%288%29%29%2F39\" = \r\n" );
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document.write( "         = \"%2812-5%2A2%2Asqrt%282%29%29%2F39\" = \"%2812-10%2Asqrt%282%29%29%2F39\".        ANSWER\r\n" );
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