Question

Match the amplitude, midline, period, and frequency for the cosine equation. Ax) = 5 cos(2x) + 3 a) Amplitude: 5, Midline: 3, Period: π, Frequency: 2

b) Amplitude: 3, Midline: 5, Period: π/2, Frequency: 2
c) Amplitude: 5, Midline: 3, Period: π/2, Frequency: 2
d) Amplitude: 5, Midline: 3, Period: π, Frequency: 1/2

Answer 1

The amplitude, midline, period, and frequency of the given cosine equation are explained and determined.

Step-by-step explanation:

The given cosine equation is Ax) = 5 cos(2x) + 3. To find the characteristics of the wave, we can compare it with the general form of a cosine wave equation, y(x, t) = A sin(kx - wt + p).

From the equation Ax) = 5 cos(2x) + 3, we can determine that the amplitude is 5 and the midline is 3. The period can be found by calculating 2π divided by the angular frequency, which is 2 in this case. Therefore, the period is π and the frequency is 2.

So, the correct answer is (a) Amplitude: 5, Midline: 3, Period: π, Frequency: 2.