নিচের কোনটি sin⁻¹ 2/sqrt(5) এর সমান?

sin⁻¹(2/sqrt(5)) = tan⁻¹(2/1) = tan⁻¹(2). The options provided in the image seem to have a typo in the question or options. Based on the triangle with perpendicular 2 and hypotenuse sqrt(5), the base is sqrt((sqrt(5))² - 2²) = sqrt(5-4) = 1. So, sin⁻¹(2/sqrt(5)) = tan⁻¹(2/1) = tan⁻¹(2). Looking at the provided solution in the image: sin⁻¹(2/sqrt(5)) = tan⁻¹(2/1) = cot⁻¹(1/2). The image shows the answer as tan⁻¹(1/sqrt(5)) is not correct based on the triangle. Wait, the image shows: sin⁻¹(2/sqrt(5)) = tan⁻¹(2/1) = cot⁻¹(1/2). Actually, the image shows sin⁻¹(2/sqrt(5)) = tan⁻¹(2/1) = cot⁻¹(1/2). Let's re-read the image: sin⁻¹(2/sqrt(5)) = tan⁻¹(2/1) = cot⁻¹(1/2). The option D is tan⁻¹(1/sqrt(5)). There might be a typo in the question or options in the source.