JEE Mains · Maths · STD 11 - 3. trignometrical ratios,functions and identities
If \(m\) and \(M\) are the minimum and the maximum values of \(4 + \frac{1}{2}\,{\sin ^2}\,2x - 2\,{\cos ^4}\,x\,,x\, \in R,\) then \(M - m\) is equal to
- A \(\frac {9}{4}\)
- B \(\frac {15}{4}\)
- C \(\frac {7}{4}\)
- D \(\frac {1}{4}\)
Answer & Solution
Correct Answer
(B) \(\frac {15}{4}\)
Step-by-step Solution
Detailed explanation
\(4\, + \,\frac{1}{2}\,{\sin ^2}2x\, - \,2\,{\cos ^4}x\) \(4\, + \,2(1 - {\cos ^2}x){\cos ^2}x - 2{\cos ^4}x\)…
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