In a sentence, compare the amplitudes of the two functions:
F(x)= 2cos(pix)
G(x)= 1/2cos(2x)

II. In a sentence, compare the periods of the two functions. Which function has the larger period?

Question

In a sentence, compare the amplitudes of the two functions:
F(x)= 2cos(pix)
G(x)= 1/2cos(2x)

II. In a sentence, compare the periods of the two functions. Which function has the larger period?

anonymous · Answer

the first one has amplitude 2, the second has amplitude $\frac{1}{2}$ the amplitude is the absolute value of the coefficient out front

anonymous · Answer

the period of $\sin(bx)$ is $\frac{2\pi}{b}$ so the period of the first one is $\frac{2\pi}{\pi}=2$ and the period of the second one is $\frac{2\pi}{2}=\pi$ you can figure out what is larger, $2$ or $\pi$

anonymous · Answer

ok it says "cosine" but the same reasoning applies