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If tan A = 3/5 the value of sin2 A + cos2 A is ______.

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Question

If tan A = `3/5` the value of sin2 A + cos2 A is ______.

Options

  • `9/25`

  • 1

  • `9/16`

  • `16/9`

MCQ
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Solution

If tan t A = `3/5` the value of sin2 A + cos2 A is 1.

Explanation:

According to the fundamental trigonometric identity, sin2 A + cos2 A = 1 for any angle A. The given value of tan A is extra information and does not affect this identity.

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Chapter 21: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - Exercise 21 (A) [Page 311]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 21 Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]
Exercise 21 (A) | Q 1. (b) | Page 311
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