If n ∈ N, and the set of equations cos –1 x + (sin –1 y) 2 …

Maths Inverse Trigonometric Functions Mix Single Correct MCQ

Published on: August 13, 2026

If n ∈ N, and the set of equations cos –1 x + (sin –1 y) 2 = and (sin –1 y) 2 – cos –1 x = is consistent then n can be equal to–

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The correct answer is:

Adding both equation we get

(sin –1 y) 2 = π 2 ⇒ 0 ≤ π

2 ≤

⇒ – ≤ n ≤

Also cos –1 x = π 2 ⇒ 0 ≤

⇒ ≤ n ≤ + 1.

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