Question:medium

If \[ \sin^{-1}\frac{5}{x}+\sin^{-1}\frac{12}{x}=\frac{\pi}{2}, \] then \(x=\)

Show Hint

When two inverse sine angles add to \(\frac{\pi}{2}\), use the complementary angle relation and the identity \(\sin^2A+\cos^2A=1\).
  • \(12\)
  • \(7\)
  • \(13\)
  • \(15\)
Show Solution

The Correct Option is C

Solution and Explanation

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