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The principal value of sin–1 (-32) is ______. - Mathematics and Statistics

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Question

The principal value of sin1 `(- sqrt3/2)` is ______.

Options

  • `(- (2pi)/3)`

  • `(4pi)/3`

  • `(5pi)/3`

  • `- pi/3`

MCQ
Fill in the Blanks

Solution

The principal value of sin–1 `(- sqrt3/2)` is `underlinebb(-pi/3)`.

Explanation:

`sin^-1(-sqrt3/2) = [sin^-1 sin(- pi/3)] = -pi/3`

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Trigonometric Equations and Their Solutions
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Chapter 3: Trigonometric Functions - Miscellaneous exercise 3 [Page 107]

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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 1.12 | Page 107

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