The principal value of $sin^{- 1} (sin 5) - cos^{- 1} (cos 5)$ is

0

2 π - 10

10 - 4 π

3 π - 10

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Text solutionVerified

Principal value of

sin^{- 1} (sin 5) - cos^{- 1} (cos 5) = sin^{- 1} (sin (5 - 2 π)) - cos^{- 1} (cos (2 π - 5)) = 5 - 2 π - 2 π + 5

= 10 - 4 π

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Question Text	The principal value of $sin^{- 1} (sin 5) - cos^{- 1} (cos 5)$ is
Answer Type	Text solution:1
Upvotes	150