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Find the Principal Value of the Following: `Sin^-1(Cos (3pi)/4)` - Mathematics

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Question

Find the principal value of the following:

`sin^-1(cos  (3pi)/4)`

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Solution

`sin^-1(cos  (3pi)/4) = sin^-1(-sqrt2/2)=sin^-1[sin(-pi/4)]=-pi/4`

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.01 [Page 6]

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RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.01 | Q 1.5 | Page 6
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