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

#"using the "color(blue)"trigonometric identities"#

#•color(white)(x)tanx=sinx/cosx" and "secx=1/cosx#

#•color(white)(x)sin^2x+cos^2x=1#

#rArrcosx+sinx xx sinx/cosx#

#=cos^2x/cosx+sin^2x/cosx#

#=(cos^2x+sin^2x)/cosx=1/cosx=secx#