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(sec A + tan A)(1 – sin A) = ?

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Question

(sec A + tan A)(1 – sin A) = ?

Options

  • sin A

  • cos A

  • sec A

  • cosec А

MCQ
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Solution

cos A

Explanation:

Given expression = `(1/(cos A) + (sin A)/(cos A))(1 - sin A)`

= `((1 + sin A)(1 - sin A))/(cos A)`

= `((1 - sin^2A))/(cos A)`

= `(cos^2A)/(cos A)`

= cos A

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Chapter 13: Trigonometric identities - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 631]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 13 Trigonometric identities
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 3. | Page 631
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