UPSEE Solved Model Paper 3

Since 5 = 5 × 57° ~ 285°
∴ sin 5 < 0 and cos 5 < 0
⇒ sin−1 (sin 5) = sin−1 {sin (π - 5)}
= π - 5 and cos−1 (cos 5)
= cos−1 {cos (2π - 5)} = 2π - 5
∴ sin−1 (sin 5) - cos−1 (cos 5)
= π - 5 - 2π + 5 = - π