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Question

If y=1sin6x+cos6x, then y can be

A
32
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B
2
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C
4
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D
5
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Solution

The correct options are
A 32
B 2
C 4
y=1sin6x+cos6x
=1(sin2x+cos2x)33sin2xcos2x(sin2x+cos2x)
=113sin2xcos2x
=113(sin2x)24
y=443sin22x

Since, 0sin22x1
143sin22x414143sin22x1
y[1,4]

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