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BARSIC [14]
2 years ago
6

Simplify: sin^2xcos^2x-cos^2x

Mathematics
1 answer:
shtirl [24]2 years ago
8 0

Answer:

-cos^4(x)

Step-by-step explanation:

Step 1: Use the Pythagorean identity : 1=cos^2(x) + sin^2(x)

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

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

cos^2(x) (-cos^2(x))

Step 2: Factor out common terms cos^2(x)

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

Ans: -cos^4(x)

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IgorLugansk [536]

Answer:

See below.

Step-by-step explanation:

So we started off with the equation:

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3 years ago
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