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If 3cos x - sin x = 1, then general value of x is ______. - Mathematics and Statistics

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Question

If `sqrt3`cos x - sin x = 1, then general value of x is ______.

Options

  • `2"n"pi +- pi/3`

  • `2"n"pi +- pi/6`

  • `2"n"pi +- pi/3 - pi/6`

  • `"n"pi + (- 1)^"n" pi/3`

MCQ
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Solution

If `sqrt3`cos x - sin x = 1, then general value of x is`2"n"pi +- pi/3 - pi/6`.

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Trigonometric Equations and Their Solutions
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Chapter 3: Trigonometric Functions - Miscellaneous exercise 3 [Page 106]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
Chapter 3 Trigonometric Functions
Miscellaneous exercise 3 | Q 1.06 | Page 106

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