To simplify the given equation, we can use the Pythagorean identity for sine and cosine, which states that sin^2(x) + cos^2(x) = 1.
Given equation: 2cos^2(x) + 2sin^2(x) = 3
We can rewrite this equation by substituting sin^2(x) + cos^2(x) for 1:2(cos^2(x) + sin^2(x)) = 3
Now, we can simplify this equation:2(1) = 32 = 3
Since the equation simplifies to a false statement, there seems to be a mistake in the original equation.
To simplify the given equation, we can use the Pythagorean identity for sine and cosine, which states that sin^2(x) + cos^2(x) = 1.
Given equation: 2cos^2(x) + 2sin^2(x) = 3
We can rewrite this equation by substituting sin^2(x) + cos^2(x) for 1:
2(cos^2(x) + sin^2(x)) = 3
Now, we can simplify this equation:
2(1) = 3
2 = 3
Since the equation simplifies to a false statement, there seems to be a mistake in the original equation.