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AP EAMCET · Maths · Inverse Trigonometric Functions

Suppose \(S_a(x)=\operatorname{Sec}^{-1}\left(\frac{x}{a}\right)+\operatorname{Sec}^{-1}(a)\) for \(a \neq 0\). If \(S_a(x)=S_b(x)\) for \(a \neq b\) then \(x=\)

  1. A \(1\)
  2. B \(\pm a b\)
  3. C \(a b\)
  4. D \(-a b\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(a b\)

Step-by-step Solution

Detailed explanation

No solution. Refer to answer key.