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(1 + tan^2A)/(1 + cot^2A) = ?

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Question

`(1 + tan^2A)/(1 + cot^2A)` = ?

Options

  • –1

  • sec2A

  • tan2A

  • cot2A

MCQ
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Solution

tan2A

Explanation:

`(1 + tan^2A)/(1 + cot^2A) = (sec^2A)/("cosec"^2A)`

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

= tan2A

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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 2. | Page 631
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