document.write( "Question 739045: Please help me solve this equation: Direction: Find all solution in the interval [0,2pi) by algebraically: 2sin(^2)*2x+5sin2x-3=0 \n" ); document.write( "

Algebra.Com's Answer #450999 by lwsshak3(11628) $\"\"$ $\"About$

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Find all solution in the interval [0,2pi) by algebraically: 2sin(^2)*2x+5sin2x-3=0
\n" ); document.write( "***
\n" ); document.write( " $\"2sin%5E2%282x%29%2B5sin%282x%29-3=0\"$
\n" ); document.write( " $\"%282sin%282x%29-1%29%28sin%282x%29%2B3%29=0\"$
\n" ); document.write( "..
\n" ); document.write( "(2sin(2x)-1)=0
\n" ); document.write( "sin(2x)=1/2
\n" ); document.write( "2x=π/6, 5π/6 (in Q1 and Q2 where sin>0)
\n" ); document.write( "x=π/12, 5π/12
\n" ); document.write( "..
\n" ); document.write( "or
\n" ); document.write( "(sin(2x)+3)=0
\n" ); document.write( "sin(2x)=-3(reject, (-1 ≤ sin(2x) ≤ 1) \n" ); document.write( "

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