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If sin A = cos A, the measurement of angle A is ______.

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Question

If sin A = cos A, the measurement of angle A is ______.

Options

  • 30°

  • 45°

  • 60°

MCQ
Fill in the Blanks
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Solution

If sin A = cos A, the measurement of angle A is 45°.

Explanation:

For an acute angle, sin A = cos A

when A = 45°

since sin 45° = cos 45° = \[\frac{1}{\sqrt{2}}\]

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Chapter 21: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - EXERCISE 21 (F) [Page 333]

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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 (F) | Q 1. (a) | Page 333
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