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Karthik Eyan Grade: 11

Find the maximum and minimum value of

(sin x)^2 + 4 cos 2x for x belongs to R

7 years ago

Answers : (1)

Anil Pannikar AskiitiansExpert-IITB
85 Points

Dear Karthik,


cos2x = 1- 2sin2x


so, (sin x)^2 + 4 cos 2x = 4 - 7sin2x

Max. value = 4       put sinx  = 0

Min. value  =  4 - 7  = -3    at sinx = -1 or 1



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Askiitians Expert

Anil Pannikar

IIT Bombay

7 years ago
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