document.write( "Question 1126640: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.)
\n" ); document.write( "(tan2(θ) − 16)(2 cos(θ) + 1) = 0
\n" ); document.write( "

Algebra.Com's Answer #743012 by ikleyn(52946)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I'd like to make a couple of comments.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "1.  First, the analysis of the second factor by @greenestamps is incorrect.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    The correct way to analyse it is THIS:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        2*cos(x) + 1 = 0   is equivalent to\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        cos(x) = \"-1%2F2\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    and has the solutions  x = \"2pi%2F3+%2B+2k%2Api\",  k = 0, +/-1, +/-2, . . .    and\r\n" );
document.write( "\r\n" );
document.write( "                           x = \"4pi%2F3+%2B+2k%2Api\",  k = 0, +/-1, +/-2, . . .  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2.  Regarding the first factor, I do not understand, what it represents:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    (tan^2(x) - 16)  (tan(x) in degree 2)   or   (tan(2x) - 16).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Probably, you are a novice in this forum.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     If so, then please be accurate and attentive in writing your formulas.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Use properly parentheses and other mathematical symbols.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Otherwise, you will not get all possible benefits from this forum.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );