Question 988712
The book is wrong unfortunately. The answer should be {{{cos(x) + 1}}}. Here are the steps showing why



{{{(sin(x) + tan(x))/(tan(x))}}}



{{{(sin(x))/(tan(x)) + (tan(x))/(tan(x))}}}



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



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



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



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



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


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So again, {{{(sin(x) + tan(x))/(tan(x))}}} simplifies to {{{cos(x) + 1}}}