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The value of 4 cos3 40° – 3 cos 40° is - Business Mathematics and Statistics

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प्रश्न

The value of 4 cos3 40° – 3 cos 40° is

पर्याय

  • `sqrt3/2`

  • `- 1/2`

  • `1/2`

  • `1/sqrt2`

MCQ

उत्तर

`- 1/2`

Explanation:

4 cos3 40° – 3 cos 40°

= cos (3 × 40°) [∵ cos 3A = 4 cos3 A – 3 cos A]

= cos 120°

= cos (180° – 60°)

= -cos 60°

= `- 1/2`

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Trigonometric Ratios of Compound Angles
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पाठ 4: Trigonometry - Exercise 4.5 [पृष्ठ ९३]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
पाठ 4 Trigonometry
Exercise 4.5 | Q 13 | पृष्ठ ९३
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