Question

If \( \cot(\cos^{-1} x) = \sec \left( \tan^{-1} \left( \frac{a}{\sqrt{b^2 - a^2}} \right) \right) \), then:

• A. \( \frac{b}{\sqrt{2b^2 - a^2}} \)
• B. \( \frac{\sqrt{b^2 - a^2}}{ab} \)
• C. \( \frac{a}{\sqrt{2b^2 - a^2}} \)
• D. \( \frac{\sqrt{b^2 - a^2}}{a} \)

Hint:

For inverse trigonometric functions, rewrite in terms of known trigonometric identities to simplify expressions.