Question

prove this identity: (sinx+tanx)/(cosx+1)=tanx

Answer 1

write tan x as sin x/ cos x

Answer 2

what u get ?

Answer 3

(sinx+(sinx/cosx))/(cosx+1) idk what to do after it

Answer 4

lets work on numerator
factor out sin x , what u get ?

Answer 5

i did: (sinx+cosxsinx)/(cosx+1)

Answer 6

u missed a cos x

Answer 7

\(\large sin x+sinx/cos x= (sinxcosx+sinx)/cosx \\ \large=sinx(cos x+1)/cos x\)
did u get this ?

Answer 8

that was numerator only,
the denominator still is 1+cos x

Answer 9

howd you get: sinx(xosx+1)/cosx?

Answer 10

cosx*

Answer 11

i factored out sin x...

Answer 12

\(a+b/c= (ac+b)/c\)