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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Find the principal value of cos-1 32 - Mathematics

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Question

Find the principal value of `cos^-1  sqrt(3)/2`

Sum

Solution

Let y = `cos^-1  (sqrt(3)/2)`

Where 0 ≤ y ≤ π

cos y = `sqrt(3)/2`

= `cos (pi/6)`

y = `pi/6`

∴ The principal value of `cos^-1  sqrt(3)/2 = pi/6`

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Chapter 3: Trigonometry - Exercise 3.11 [Page 149]

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Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 3 Trigonometry
Exercise 3.11 | Q 1. (ii) | Page 149
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