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The value of (sin 45° + cos 45°) is ______. - Mathematics

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Question

The value of (sin 45° + cos 45°) is ______.

Options

  • `1/2`

  • `1/sqrt(2)`

  • `sqrt(2)`

  • 2

MCQ
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Solution

The value of (sin 45° + cos 45°) is `underlinebb(sqrt(2))`.

Explanation:

sin 45° = cos 45° = `1/sqrt(2)` 

So, sin 45° + cos 45°

= `1/sqrt(2) + 1/sqrt(2)` 

= `2/sqrt(2)` 

= `sqrt(2)`

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Chapter 18: Trigonometric Ratios of Some Standard Angles and Complementary Angles - Exercise 18D [Page 381]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 18 Trigonometric Ratios of Some Standard Angles and Complementary Angles
Exercise 18D | Q 9. | Page 381
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