document.write( "Question 449364: Find all solutions of the equation in the interval [0,2pi].
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document.write( "(2cosθ+sqrt3)(cscθ+1)=0
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document.write( "Write your answer in radians in terms of pi .
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document.write( "If there is more than one solution, separate them with commas. \n" );
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Algebra.Com's Answer #309155 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Find all solutions of the equation in the interval [0,2pi]. \n" ); document.write( "(2cosθ+sqrt3)(cscθ+1)=0 \n" ); document.write( ".. \n" ); document.write( "(2cosx+√3)(cscx+1)=0 \n" ); document.write( "cscx+1=0 \n" ); document.write( "cscx=-1 \n" ); document.write( "x=3π/2 radians \n" ); document.write( "2cosx+√3=0 \n" ); document.write( "cosx=-√3/2 \n" ); document.write( "x=5π/6 & 7π/6 radians (cosine negative in quadrants II & III) \n" ); document.write( "solutions: \n" ); document.write( "x=3π/2, 5π/6, and 7π/6 radians \n" ); document.write( " |