Consider the following in respect of inverse circular functions: I. sin⁻¹(-x) = -sin⁻¹ x II. cos⁻¹(-x) = cos⁻¹ x III. tan⁻¹(-x) = π - tan⁻¹ x IV. cot⁻¹(-x) = π - cot⁻¹ x. How many of the above are correct?
A.One
B.Two✓ Correct
C.Three
D.All the four
Explanation
I. sin⁻¹(-x) = -sin⁻¹ x — correct. II. cos⁻¹(-x) = π - cos⁻¹ x, not cos⁻¹ x — incorrect. III. tan⁻¹(-x) = -tan⁻¹ x, not π - tan⁻¹ x — incorrect. IV. cot⁻¹(-x) = π - cot⁻¹ x — correct. So two statements are correct.
💡 Practice unlimited NDA PYQs + AI-tracked progress on each topic. Sign up free →