Question 974277
sinxtanx + sinx/tanx= 1/cosx


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


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


{{{sin^2(x)/cos(x)+sin(x)cos(x)/sin(x)}}}


{{{(sin^2(x)/cos(x))(sin(x)/sin(x))+(sin(x)cos(x)/sin(x))(cos(x)/cos(x))}}}


{{{(sin^3(x)+sin(x)cos^2(x))/(cos(x)sin(x))}}}


{{{(sin^2(x)+cos^2(x))/cos(x)}}} after canceling sin/sin...


Basic identity,
{{{1/cos(x)}}}