(cos3x)^4+(sin3x)^4=cos(g(x))
find g(x)
To find g(x), we need to work on simplifying the given equation:
(cos(3x))^4 + (sin(3x))^4 = cos(g(x))
We know the trigonometric identity: (cosθ)^2 + (sinθ)^2 = 1.
Using this identity, we can replace (cos(3x))^4 + (sin(3x))^4 with 1.
Therefore, we have:
1 = cos(g(x))
To find g(x), we need to determine the angle whose cosine is equal to 1.
The cosine function has a maximum value of 1 when the angle is 0 degrees or 360 degrees.
So, we can conclude that g(x) = 0 degrees or 360 degrees.