(1-sin^2 theta) - (sin^2 theta)
(1-sin^2 theta) * (sin^2 theta)
I see some algebra and trig, but no calculus
also, no question
Ooops, that's what I meant to write.
Can you simplify?
well, 1-sin^2 = cos^2, so you have
cos^2θ - sin^2θ = cos 2θ
cos^2θ * sin^2θ = 1/4 sin^2(2θ)
To simplify the expressions, let's start with the first one:
(1 - sin^2θ) - (sin^2θ)
Here, we have two terms being subtracted from each other. To simplify this expression, we can combine like terms.
First, let's distribute the negative sign across the second term:
(1 - sin^2θ) - sin^2θ
= 1 - sin^2θ - sin^2θ
Next, let's combine like terms:
= 1 - 2sin^2θ
So, the simplified form of (1 - sin^2θ) - (sin^2θ) is 1 - 2sin^2θ.
Now, let's move on to the second expression:
(1 - sin^2θ) * (sin^2θ)
This expression involves multiplication. To simplify it, we can use the distributive property.
Let's distribute sin^2θ across the terms inside the parentheses:
= sin^2θ - sin^4θ
So, the simplified form of (1 - sin^2θ) * (sin^2θ) is sin^2θ - sin^4θ.