Question 924600
find all solutions of the equation in the interval [0,2pie)
2 sin x + csc x = 0
2 sec^2 x + tan^2 x - 3 = 0
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{{{2sinx+cscx=0}}}
{{{2sinx+1/sinx=0}}}
{{{2sin^2(x)+1=0}}}
{{{sin^2(x)=-1/2}}}
no solution
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{{{2sec^2(x)+tan^2(x)-3=0}}}
{{{2/cos^2(x)+sin^2(x)/cos^2(x)-3=0}}}
{{{2+sin^2(x)-3cos^2(x)=0}}}
{{{2+1-cos^2(x)-3cos^2(x)=0}}}
{{{3-4cos^2(x)=0}}}
4cos^2(x)=3
cos^2(x)=3/4
cos(x)=±√3/2
x=π/6,5π/6,7π/6,11π/6