Rewrite 8 cos2 x as an equivalent expression that does not contain powers of trigonometric functions greater than 1
To rewrite 8 cos^2(x) as an equivalent expression that does not involve powers of trigonometric functions greater than 1, we need to use a trigonometric identity.
The identity we'll use is the double-angle identity for cosine, which states that cos(2x) = 2 cos^2(x) - 1.
Now, let's apply this identity to our expression:
8 cos^2(x) = 8 * (1/2) * (2 cos^2(x)) = 4 * 2 cos^2(x) = 4 * (cos(2x) + 1)/2
Simplifying further, we get:
8 cos^2(x) = 2 (cos(2x) + 1)
So, an equivalent expression for 8 cos^2(x) that does not contain powers of trigonometric functions greater than 1 is 2 (cos(2x) + 1).
cos^2 x= cosX * CosX
Surely you are looking for something more complex than that.