Answer each of th

Given |x| ≤ 1

⇒ ± x ≤ 1

⇒ x ≤ 1 or –x ≤ 1

⇒ x ≤ 1 or x ≥ -1

⇒ x ∈ [-1, 1]

Now also given cos (sin^-1 x + cos^-1 x)

We know that sin^-1 x + cos^-1 x = π/2

∴ cos (sin^-1 x + cos^-1 x) = cos (π/2) = 0