consider the function f(x)=cos x and g(x)=cos(x/3). 1a state the period of f(x) in degrees. period = enter…

Explanation:

Step1: Recall cosine - function period formula

The general form of a cosine function is $y = A\cos(Bx - C)+D$, and its period in radians is $T=\frac{2\pi}{|B|}$. For the function $f(x)=\cos x$, $B = 1$. So the period in radians is $T = 2\pi$.

Step2: Convert radians to degrees

We know that $2\pi$ radians is equal to 360 degrees. Since the period of $y = \cos x$ in radians is $2\pi$, the period in degrees is 360 degrees.

Answer:

360