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If cos A + cos^2 A = 1 then sin^2 A + sin^4 A = ?

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Question

If cos A + cos2 A = 1 then sin2 A + sin4 A = ?

Options

  • 1

  • 2

  • 3

  • 4

MCQ
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Solution

1

Explanation:

cos A = (1 – cos2 A) = sin2 A.

∴ (sin2 A + sin4 A) = (cos A + cos2 A) = 1.

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Chapter 13: Trigonometric identities - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 632]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 13 Trigonometric identities
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 17. | Page 632
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