Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Write the value of cos^{–1}(cos 350°) – sin^{–1}(sin 350°).

Given cos^{-1} (cos 350°) – sin^{-1} (sin 350°)

= cos^{-1} [cos (360° - 10°)] – sin^{-1} (sin (360° - 10°)]

We know that cos (2π – θ) = cos θ and sin (2π – θ) = -sin θ

= cos^{-1} (cos 10°) – sin^{-1} (-sin 10°)

We know that cos^{-1} (cos θ), if θ ∈ [0, π] and sin (-θ) = -sin θ

= 10° - sin^{-1} (sin (-10°))

We know that sin^{-1} (sin θ) = θ, if θ ∈ [-π/2, π/2]

= 10° - (-10°)

= 10° + 10°

= 20°

∴ cos^{-1} (cos 350°) – sin^{-1} (sin 350°) = 20°

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