document.write( "Question 824066: решить уравнения:
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\n" ); document.write( "4sinx-sin2x=3 \n" ); document.write( "

Algebra.Com's Answer #496070 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "             3sin²(x) + sin(x)cos(x) = 2cos²(x),    0° < x < 360°\r\n" );
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document.write( "                  Вычтите 2cos²(x) с обеих сторон. Получите ноль справа.\r\n" );
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document.write( "  3sin²(x) + sin(x)cos(x) - 2cos²(x) = 0\r\n" );
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document.write( "                  Фактор как ab-2b² + 3a² = (a+b)(3a-2b)\r\n" );
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document.write( "[sin(x) + cos(x)][3sin(x) - 2cos(x)] = 0\r\n" );
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document.write( "                  Используйте свойство zero фактор\r\n" );
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document.write( "sin(x) + cos(x) = 0         3sin(x) - 2cos(x) = 0\r\n" );
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document.write( "                  Разделите каждый термин cos(x)\r\n" );
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document.write( "        \r\n" );
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document.write( "    tan(x) = -1                3·tan(x) = 2\r\n" );
document.write( "         x = 135°,315°           tan(x) = \r\n" );
document.write( "                                      x = 33.69°, 326.31°\r\n" );
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document.write( "       4sin(x) - sin²(x) = 3          0° < x < 360°\r\n" );
document.write( "      -sin²(x) + 4sin(x) = 3\r\n" );
document.write( "  -sin²(x) + 4sin(x) - 3 = 0\r\n" );
document.write( "   sin²(x) - 4sin(x) + 3 = 0\r\n" );
document.write( "[sin(x) - 1][sin(x) - 3] = 0\r\n" );
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document.write( "sin(x) - 1 = 0;    sin(x) - 3 = 0\r\n" );
document.write( "    sin(x) = 1;        sin(x) = 3\r\n" );
document.write( "         x = 90°;      нет решения\r\n" );
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document.write( "Есть только одно решение:  90°\r\n" );
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document.write( "Edwin

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