Question

Prove that tanx+secx/
secx (1+ tanx/secx)=1

Answer 1

See below.

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.