Question 997025
{{{2*sin(theta)+4=5}}}



{{{2*sin(theta)+4-4=5-4}}} Subtract 4 from both sides.



{{{2*sin(theta)=1}}}



{{{(2*sin(theta))/2=1/2}}} Divide both sides by 2.



{{{sin(theta)=1/2}}}



{{{theta=pi/6}}} or {{{theta=5pi/6}}} Use the <a href="http://etc.usf.edu/clipart/43200/43215/unit-circle7_43215_lg.gif">unit circle</a> to determine which angles correspond to points on the unit circle that have a y coordinate of {{{1/2}}}



The solutions in the interval [0,2pi) are {{{theta=pi/6}}} or {{{theta=5pi/6}}}



Solution set: *[Tex \LARGE \{ \frac{\pi}{6}, \frac{5\pi}{6} \}]