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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Find the values of sin(-11π3) - Mathematics

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Question

Find the values of `sin (-(11pi)/3)`

Sum

Solution

`sin (-(11pi)/3) = - sin  (11pi)/3`

= `- sin  11/3 xx 180`

= `- sin  11/3 xx 360/2`

= `- sin 360^circ (11/6)`

= `- sin 360^circ (2 - 1/6)`

= `- [sin(360^circ xx 2) - 360^circ/6]`

= – (– sin 60°)

= `sqrt(3)/2`

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Trigonometric Functions and Their Properties
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Chapter 3: Trigonometry - Exercise 3.3 [Page 104]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 3 Trigonometry
Exercise 3.3 | Q 1. (vii) | Page 104
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