Question

Cos^2asin^2a+cos^4a​

Answer 1

Відповідь: cos^2(x)

Пояснення:

Answer 2

It seems like you want to simplify the expression "cos^2(a)sin^2(a) + cos^4(a)". Let's work on simplifying this expression step by step:

Given expression: cos^2(a)sin^2(a) + cos^4(a)

First, notice that both terms involve cosine and sine functions raised to even powers. We can use trigonometric identities to simplify the expression.

1. Using the Pythagorean identity: sin^2(a) + cos^2(a) = 1
2. Rearrange the above identity: sin^2(a) = 1 - cos^2(a)

Now substitute sin^2(a) in terms of cos^2(a) in the original expression:

cos^2(a)(1 - cos^2(a)) + cos^4(a)

Distribute the terms:

cos^2(a) - cos^4(a) + cos^4(a)

Simplify:

cos^2(a)

So, the simplified expression is just cos^2(a).