1.

Prove that :​

Answer»

To 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.



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