document.write( "Question 1078914: tgx + ctgx = -2 \n" ); document.write( "

Algebra.Com's Answer #693293 by ikleyn(52866) $\"\"$ $\"About$

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document.write( "Let y = tg(x) be the new variable.\r\n" );
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document.write( "Then the given equation takes the form  \r\n" );
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document.write( " = -2.\r\n" );
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document.write( "Multiply by y both sides. You will get\r\n" );
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document.write( " = -2y,   or\r\n" );
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document.write( " = 0,\r\n" );
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document.write( " = 0  --->  y+1 = 0.\r\n" );
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document.write( "Hence, tg(x) + 1 = 0  --->  tg(x) = -1  --->  x =   and/or  x = .\r\n" );
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document.write( "Answer.  There are 2 solutions:  x =   and/or  x = .\r\n" );
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