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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Find the value of sin-1(sin(2π3)) - Mathematics

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Question

Find the value of `sin^-1(sin((2pi)/3))`

Sum

Solution

y = `sin^-1(sin((2pi)/3))`

= `sin^-1(sin(pi - pi/3))`

= `sin^-1(sin  pi/3)`

= `pi/3`

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Sine Function and Inverse Sine Function
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Chapter 4: Inverse Trigonometric Functions - Exercise 4.1 [Page 137]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 4 Inverse Trigonometric Functions
Exercise 4.1 | Q 4. (i) | Page 137
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