Question 546632
{{{sin(x)*tan(x)+cos(x)}}}

Using the identity that {{{tan(x)=(sin(x))/(cos(x))}}}
{{{sin(x)*(sin(x))/(cos(x))+cos(x)}}}

Finidng a common denominator
{{{sin^2(x)/cos(x)+cos^2(x)/cos(x)}}}

Using the identity that {{{1=(sin^2(x)+cos^2(x))}}}
{{{(sin^2(x)+cos^2(x))/cos(x)}}}

{{{1/cos(x)}}}
{{{sec(x)}}}