AP EAMCET · Maths · Inverse Trigonometric Functions
If \(x=\sin \left(2 \tan ^{-1} 2\right)\) and \(y=\sin \left(\frac{1}{2} \tan ^{-1} \frac{4}{3}\right)\),then
- A \(x>y\)
- B \(x=y\)
- C \(x=0=y\)
- D \(x < y\)
Answer & Solution
Correct Answer
(A) \(x>y\)
Step-by-step Solution
Detailed explanation
We have, \(x=\sin \left(2 \tan ^{-1} 2\right)\) and \(y=\sin \left(\frac{1}{2} \tan ^{-1} \frac{4}{3}\right)\) \(\Rightarrow x=\sin \left(2 \tan ^{-1} 2\right)\) Let \(\tan ^{-1} 2-\alpha \Rightarrow \tan \alpha=2\)…
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