Wie vereinfacht man #sin (x) tan (x) + cos (x) #?

#sin(x)tan(x)+cos(x) = sin(x)sin(x)/cos(x)+cos(x)#

#=sin^2(x)/cos(x)+cos(x)#

#=sin^2(x)/cos(x)+cos^2(x)/cos(x)#

#=(sin^2(x)+cos^2(x))/cos(x)#

#=1/cos(x)#

#=sec(x)#