simplify: tanx/secx+1

Answer 1

Identities:

tan x = sin x / cos x

sec x = 1 / cos x

If your problem is this:

(tanx/secx) + 1

Then:

[(sin x / cos x) / (1 / cos x)] + 1 = sin x + 1

If your problem is this:

tan x / (sec x + 1)

Then: (sin x / cos x ) / [(1 / cos x) + 1] = (sin x / cos x) / [(1 / cos x) + (cos x / cos x)] = (sin x / cos x) / [(1 + cos x)/cos x] = sin x / (1 + cos x)

I hope this helps.