document.write( "Question 453840: Solve, giving all solutions between 0 and 360 degrees:\r
\n" ); document.write( "\n" ); document.write( " $\"cot%28z%2F2%29\"$ - $\"2cos%28z%2F2%29\"$ = 0 \n" ); document.write( "

Algebra.Com's Answer #311760 by poliphob3.14(115) $\"\"$ $\"About$

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First we simplify the equation: $\"cos%28z%2F2%29%2Fsin%28z%2F2%29-2cos%28z%2F2%29=0\"$ , multiply both \r
\n" ); document.write( "\n" ); document.write( "sides by $\"sin%28z%2F2%29\"$ and get: $\"cos%28z%2F2%29-2sin%28z%2F2%29%2Acos%28z%2F2%29=0\"$ , factor \r
\n" ); document.write( "\n" ); document.write( "further, $\"cos%28z%2F2%29%281-2sin%28z%2F2%29%29=0\"$ . This product will be zero if:\r
\n" ); document.write( "\n" ); document.write( " $\"cos%28z%2F2%29=0\"$ or $\"1-2sin%28z%2F2%29=0\"$ . Solving these two equivalent equations \r
\n" ); document.write( "\n" ); document.write( "we find:1) $\"cos%28z%2F2%29=0\"$ => $\"z%2F2=%28pi%29%2F2\"$ => $\"z=pi\"$ and $\"z%2F2=3%2Api%2F2\"$ =>\r
\n" ); document.write( "\n" ); document.write( " $\"z=3%2Api\"$ .\r
\n" ); document.write( "\n" ); document.write( "2) $\"1-2si%28z%2F2%29=0\"$ => $\"sin%28z%2F2%29=1%2F2\"$ => $\"z%2F2=pi%2F6\"$ => $\"z=pi%2F3\"$ and,\r
\n" ); document.write( "\n" ); document.write( " $\"z%2F2=5%2Api%2F6\"$ => $\"z=5%2Api%2F3\"$
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