Question 373949
{{{1+2sin(theta)=1/sin(theta)}}}
{{{sin(theta)+2(sin(theta))^2=1}}}
Let {{{u=sin(theta)}}}
{{{2u^2+u-1=0}}}
{{{(2u-1)(u+1)=0}}}
Two solutions:
{{{2u-1=0}}}
{{{2u=1}}}
{{{u=1/2}}}
{{{sin(theta)=1/2}}}
{{{highlight(theta=30)}}}º and {{{highlight(theta=150)}}}º
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{{{u+1=0}}}
{{{u=-1}}}
{{{sin(theta)=-1}}}
{{{highlight(theta=270)}}}º