Determine the period, to the nearest tenth of radian, for the following function: y = 4 cos(4x + 6) - 1

Question

mertsj · Answer

$$y=4\cos (4x+6)-1=4\cos 4(x+\frac{3}{2})-1$$

mertsj · Answer

If you want to find the period, you should use this equation:
$$coefficient of x = \frac{2\pi}{period}$$
$$4=\frac{2\pi}{p}$$

mertsj · Answer

$$4p=2\pi$$
$$p=\frac{\pi}{2}$$

anonymous · Answer

ok
can u help me with this too


If the maximum value of y = a cos x + 2.4 is 12.6, then the value of a, to the nearest tenth, is

mertsj · Answer

Typically a cosine graph would go up to 1 and down to -1.  Since this one is raised 2.4, it's centerline is y = 2.4 instead of y=0.  It goes up to 12.6 which is 10.2 units above its centerline so its amplitude must be 10.2