TS EAMCET · Maths · Trigonometric Ratios & Identities
If \(f(x)=\sin ^6 x+\cos ^6 x\) for \(x \in R\), then \(f(x)\) lies in the interval
- A \(\left[\frac{7}{8}, \frac{5}{4}\right]\)
- B \(\left[\frac{1}{2}, \frac{5}{8}\right]\)
- C \(\left[\frac{1}{4}, 1\right]\)
- D \(\left[\frac{1}{4}, \frac{1}{2}\right]\)
Answer & Solution
Correct Answer
(C) \(\left[\frac{1}{4}, 1\right]\)
Step-by-step Solution
Detailed explanation
Given, \(f(x)=\sin ^6 x+\cos ^6 x\) and \(x \in R\)…
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