Question 886507
{{{(sin(x))/(1+sec(x))}}}


{{{(sin(x))/(1+1/cos(x))}}}


{{{(red(cos(x))*sin(x))/(red(cos(x))*1+red(cos(x))*(1/cos(x)))}}} Multiply EVERY term by the inner LCD {{{cos(x)}}} to clear out that inner fraction.


{{{(cos(x)*sin(x))/(cos(x)+cos(x)/cos(x))}}}


{{{(cos(x)*sin(x))/(cos(x)+cross(cos(x))/cross(cos(x)))}}}


{{{(cos(x)*sin(x))/(cos(x)+1))}}}


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{{{(sin(x))/(1+sec(x))}}} simplifies to {{{(cos(x)*sin(x))/(cos(x)+1))}}}