Question 1067907
.
help me use the half angle formula to simplify the expression of sin4θ/1 + cos 4θ? The slash indicates a fraction. 
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~


<pre>
The numerator {{{sin(4theta)}}} = {{{2*sin(2theta)*cos(2theta)}}}.


The denominator {{{1+cos(4theta)}}} = {{{2*cos^2(2theta)}}}    (the half angle formula for cosine)


Therefore, the ratio  {{{sin(4theta)/(1+cos(4theta))}}} = {{{sin(2theta)/cos(2theta)}}} = {{{tan(2theta)}}}.
</pre>

Solved.