Question 866939
{{{6sin^2(theta) + 7cos(theta) - 7 = 0}}}
{{{6*(1-cos^2(theta)) + 7cos(theta) - 7 = 0}}}
{{{6-6cos^2(theta)+7cos(theta)-7=0}}}
{{{-6cos^2(theta)+7cos(theta)-1=0}}}

{{{6cos^2(theta)-7cos(theta)+1=0}}}
{{{cos(theta)-1)(6cos((theta)-1))=0}}}
Two solutions:
{{{cos(theta)=1}}}
{{{theta=0}}}
and
{{{6cos(theta)-1=0}}}
{{{6cos(theta)=1}}}
{{{cos(theta)=1/6}}}
{{{theta=80.4}}} and {{{theta=279.6}}}