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If you mean:

sin2(x) cos2(x)

then it can be simplified by noting that the square of the sine of x is equal to (1 - cos(2x)) ÷ 2 and the square of the cosine of x is equal to (1 + cos(2x)) ÷ 2. We can then simplify further:

sin(x)2cos(x)2

= [(1 - cos(2x)) / 2][(1 + cos(2x)) / 2]

= (1 - cos(2x))(1 + cos(2x)) / 2

= (1 - cos2(2x)) / 2

Also note that 1 - cos2(x) = sin2(x), so we can then say:

= sin2(2x) / 2

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Q: How to simplify sin x2 cos x2?
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