Let f : (–1, 1) → R be such that f( 4 )= 2 2- ^ 2 for (0, 4 ) ( 4 , 2 ) . Then the values…
Mathematics · JEE Advanced · NTA Exams — Trigonometry
Let f : (–1, 1) → R be such that \(f(\cos 4 \theta)=\frac{2}{2-\sec ^{2} \theta}\) for \(\theta \in\left(0, \frac{\pi}{4}\right) \cup\left(\frac{\pi}{4}, \frac{\pi}{2}\right) .\) Then the values of \(f\left(\frac{1}{3}\right)\) is (are).
Answer
(A)
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