Question

Cos^4x+sin^2x cos^2x

Answer 1

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Answer 2

To simplify the expression cos^4x + sin^2x cos^2x, we can use the trigonometric identity: cos^2x + sin^2x = 1.

Let's work step by step:

1. Replace sin^2x with (1 - cos^2x) using the identity mentioned above.
2. Simplify the expression.

cos^4x + sin^2x cos^2x = cos^4x + (1 - cos^2x) cos^2x

Now, distribute the terms:

= cos^4x + cos^2x - cos^4x

The cos^4x and -cos^4x terms cancel out, leaving us with:

= cos^2x

So, the simplified expression is cos^2x.