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Find the Principal Value of the Following: `Sin^-1(Cos (2pi)/3)`

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Question

Find the principal value of the following:

`sin^-1(cos  (2pi)/3)`

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Solution

`sin^-1(cos  (2pi)/3)`= `sin^-1(-1/2)=sin^-1[sin(-pi/6)]=-pi/6`

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Chapter 3: Inverse Trigonometric Functions - Exercise 4.01 [Page 6]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 3 Inverse Trigonometric Functions
Exercise 4.01 | Q 1.2 | Page 6
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