Question

if f(x)= log (sec x + tan X) find f(x)​

Answer 1

Step-by-step explanation:

f'(x)= log (1/cosx+sinx/cos x)

= log(1+sinx/ cos x)

= log (1+ sinx )-log cos x

= 1/(1+ sinx)×cosx- 1/cos x×- sinx

= cos x/ (1+sinx) + sinx/cos x

cos x/ ( 1+ sin x)+ tanx