Prove that tanx+secx/

secx (1 + tanx/secx) = 1

See below.

Step-by-step explanation:

We need to prove that tanx + secx = secx (1 + tanx / secx) (because their quotient = 1).

Taking the right side of the identity:

secx (1 + tanx / secx) Distributing the sec x we get:

secx + tanx = the left side.