TS EAMCET · Maths · Inverse Trigonometric Functions
If \(2 \tan ^{-1} x=3 \sin ^{-1} x\) and \(x \neq 0\) then \(8 x^2+1=\)
- A 13
- B 5
- C \(\sqrt{7}\)
- D \(\sqrt{17}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{17}\)
Step-by-step Solution
Detailed explanation
\(2 \tan ^{-1} x=3 \sin ^{-1} x\) \(\Rightarrow \sin ^{-1}\left(\frac{2 x}{1+x^2}\right)=\sin ^{-1}\left(3 x-4 x^3\right)\)…
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