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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Find the value of sin-1[cos(sin-1(32))] - Mathematics

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Question

Find the value of `sin^-1[cos(sin^-1 (sqrt(3)/2))]`

Sum

Solution

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

= `sin^-1 [1/2]`

= `pi/6`

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.5 [Page 166]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 4 Inverse Trigonometric Functions
Exercise 4.5 | Q 3. (i) | Page 166

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