Here's the question you clicked on:
meyruhstfu94
verify the identity: cos x+sin x tan x=sec x
LHS: cos x + sin^2 x/cos x = (cos^2 x + sin^2 x)/cos x = 1/cosx =sec x
sinx tanx = secx -cos x =(1/cosx)-cosx =(1 - cos^2x)/cosx = (sin^2x)/cosx = sinx sinx/cosx = sinx tanx