Q.

The maximum value of sin3x. cos3x is ___ and is obtained at x =

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a

-23, π4

b

18, π4

c

-18, π4

d

13, π8

answer is A.

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Detailed Solution

fx=sin3x.cos3x =sin x cos x3 =22 sin x cos x3 =18 sin3 2x

sin 2x maximum values is  sin 2x=1 2x=π2 x=π4

fx maximum value is  =18 13=18

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