document.write( "Question 1203975: sec²θ-2=0, -π<θ<π \n" ); document.write( "
Algebra.Com's Answer #839935 by ikleyn(52914)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "In the post by @MathLover1, part of her solution (part of her writing) is incorrect. \r
\n" ); document.write( "\n" ); document.write( "In my post, I deleted/removed incorrect parts of her solution and saved only that lines that are correct.\r
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document.write( "    \"+sec%5E2%28theta%29+-2=0+\",  \"+-pi%3C+theta+%3Cpi\"\r\n" );
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document.write( "    \"sec%5E2%28theta%29\" = 2.\r\n" );
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document.write( "    \"sec%28theta%29\" = +/- \"sqrt%282%29\"\r\n" );
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document.write( "Solutions in given interval \"-pi\" < \"theta\" < \"pi\"\r\n" );
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document.write( "    \"sec%28theta%29\" = \"sqrt%282%29\" ==> \"theta\"  = \"pi%2F4\"  or  \"theta\" = \"-pi%2F4+\".\r\n" );
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document.write( "    \"sec%28theta%29\" = \"-sqrt%282%29\" ==>  \"theta\" = \"3pi%2F4\"  or  \"theta\" = \"-3pi%2F4\".\r\n" );
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document.write( "ANSWER.  \"theta\" = \"pi%2F4\", \"-pi%2F4+\", \"3pi%2F4\", \"-3pi%2F4\".\r\n" );
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