Question 175824
{{{(sec(x)-1)/(sec(x))=(sec(x))/(sec(x))-(1)/(sec(x))=1-(1)/(sec(x))=1-cos(x)}}}



Note: {{{1/(sec(x))=cos(x)}}} since {{{sec(x)=1/(cos(x))}}}



So {{{(sec(x)-1)/(sec(x))=1-cos(x)}}}