document.write( "Question 1208913: Solve for x.\r
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\n" ); document.write( "\n" ); document.write( "3csc x - [1/cos x] = 0 \n" ); document.write( "

Algebra.Com's Answer #847434 by ikleyn(52799) $\"\"$ $\"About$

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\n" ); document.write( "3csc x - [1/cos x] = 0
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document.write( "You want to solve\r\n" );
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document.write( "     -  = 0.\r\n" );
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document.write( "The domain of this equation are all real numbers except of  x = ,  where sin(x) = 0  or  cos(x) = 0.\r\n" );
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document.write( "In the domain, multiply both sides by  sin(x).\r\n" );
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document.write( "Since sin(x) =/= 0, you get an equivalent equation\r\n" );
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document.write( "    3 -  = 0,\r\n" );
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document.write( "which is the same as  \r\n" );
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document.write( "     3 = ,\r\n" );
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document.write( "or\r\n" );
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document.write( "     tan(x) = 3.\r\n" );
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document.write( "Hence,  the general solution to the given equation is  the set  x = arctan(3) +  = 1.24904577 +   radians, k = 0, +/-1, +/-2, . . .\r\n" );
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document.write( "ANSWER.  The general solution to the given equation is the set  x = arctan(3) +  = 1.24904577 +   radians, k = 0, +/-1, +/-2, . . .\r\n" );
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