Question

tanA+secA-1/tanA-secA+1​

Answer 1

o prove:

( tanA + secA -1)/( tanA- secA+1) = (1+sinA)/cosA

Proof:

(tanA - secA) - (sec2A - tan2A)/tanA + 1 - secA

(tanA - secA) (1 - (secA - tanA))/tanA + 1 - secA

(tanA - secA) (1 - secA + tanA)/tanA + 1 - secA

sec A + tan A

1/cosA + sinA/cosA

1 + sinA/cosA

Hence, Proved.