Math, asked by pranjal5865, 1 year ago

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

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Answered by Anonymous
1
your solution.......
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Answered by daniasharich
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

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