Question 917269
tan theta + cot theta = 2 and condition is 0is less than theta and theta is less than 90 what is the value of theta
***use x for theta
tanx+cotx=2 (0 < x &#8804; 90&#730;)
{{{tan(x)+cot(x)=2}}}
{{{sin(x)/cos(x)+cos(x)/sin(x)=2}}}
{{{(sin^2(x)+cos^2(x))/(sin(x)cos(x))=2}}}
{{{1/(sin(x)cos(x))=2}}}
2sin(x)cos(x)=1
sin(2x)=1
2x=90&#730;
x=45&#730;