证明:(1 + tan x) / (sin x + cos x) = 1 / cos x

问题描述:

证明:(1 + tan x) / (sin x + cos x) = 1 / cos x

(1+tanx)/(sinx+cosx) = (1+sinx/cosx)/(sinx+cosx) = (sinx+cosx)/cosx/(sinx+cosx) = 1/cosx