Question

If \( \sin^{-1} x + \cos^{-1} y = \frac{3\pi}{10} \), then the value of \( \cos^{-1} x + \sin^{-1} y \) is:

• A. \( \frac{\pi}{10} \)
• B. \( \frac{7\pi}{10} \)
• C. \( \frac{9\pi}{10} \)
• D. \( \frac{3\pi}{10} \)

Hint:

Use trigonometric identities like \( \sin^{-1} x + \cos^{-1} x = \frac{\pi}{2} \) to simplify mixed inverse trigonometric equations step by step.