How do you simplify Sin^2xcos^2x-cos^2x ? -Thanks

1 Answer
Vesco Santiago
Jan 16, 2018

It simplifies to -cos^4x

Explanation:

sin^2xcos^2x-cos^2x

cos^2x(sin^2x - 1)

We know that sin^2x + cos^2x = 1, so
sin^2x -1 = -cos^2x
Therefore:

cos^2x(-cos^2x)

-cos^4x

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