maximum value of sin2x cos2x So the maximum value of f x sin 2x cos 2x is given by f 8 sin 4 cos 4 1 2 Hence correct option is 1
Sin 2x Formula can be derived from trigonometric identities sin 2x cos 2x 1 and cos2x 1 2sin 2x Using these formulas the formula for sin 2x are sin 2x 1 cos 2x and sin 2x 1 cos2x 2 So the maximum value of f x sin 2x cos 2x is given by f 8 sin 4 cos 4 1 2 Hence correct option is 1
maximum value of sin2x cos2x
maximum value of sin2x cos2x
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maximum value of sin2x cos2x - The maximum value of f x begin vmatrix sin 2x 1 cos 2x cos 2x 0 3em 1 sin 2x cos 2x cos 2x 0 3em sin 2x cos 2x sin 2x end vmatrix x in R