Question

sec thata(1-sintheta)(sec theta+tan theta)=1

Answer 1

your solution.......

Answer 2

secФ(1-sinФ)(secФ+tanФ) [Ф is theta]

as secФ=1/cosФ;tanФ=sinФ/cosФ

⇒1/cosФ(1-sinФ)(1/cosФ+sinФ/cosФ)

⇒1/cos²Ф(1-sinФ)(1+sinФ)

⇒1/cos²Ф(1-sin²Ф)

⇒1/cos²Ф*(cos²Ф)⇒1