WBJEE · Maths · Inverse Trigonometric Functions
If \(\sin ^{-1}\left(\frac{x}{13}\right)+\operatorname{cosec}^{-1}\left(\frac{13}{12}\right)=\frac{\pi}{2},\) then the value of \(x\) is
- A 5
- B 4
- C 12
- D 11
Answer & Solution
Correct Answer
(A) 5
Step-by-step Solution
Detailed explanation
Given, \(\sin ^{-1}\left(\frac{x}{13}\right)+\operatorname{cosec}^{-1}\left(\frac{13}{12}\right)=\frac{\pi}{2} ..(i)\) Let \(\operatorname{cosec}^{-1} \frac{13}{12}=y\) Then. \(\operatorname{cosec} y=\frac{13}{12} \Rightarrow \sin y=\frac{12}{13}\)…
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