Find the period and amplitude of the function y=5 cos 2 theta

Period = π

Amplitude = 5

Step-by-step explanation:

Given:

We are given cosine function. we need to calculate period and amplitude of the curve.

Amplitude: Half the distance between the maximum and minimum of the curve. (coefficient of cosine is amplitude)

Amplitude of the given equation: 5

Now we will find the period of the cosine function.

y= cos x , period is 2π

If function is y= cos(ax) then period is 2π/a

For given function a=2

Period = 2π/2 = π

Hence, The period of given function is π and amplitude is 5