Question 747141
What are the x's of: ((cot^2)x) +(csc^2)x)) = 7
assume x=acute angle  
{{{cot^2(x)+csc^2x=7}}}
{{{(cos^2(x)/sin^2(x))+(1/sin^2(x))=7}}}
{{{(cos^2(x)+1)/(sin^2(x))=7}}}
{{{(cos^2(x)+1)=(7sin^2(x))}}}
{{{(cos^2(x)+1)=7(1-cos^2(x))}}}
{{{cos^2(x)+1=7-7cos^2(x)}}}
{{{8cos^2(x)=6}}}
{{{cos^2(x)=3/4}}}
cos(x)=√3/2
x=π/6