Question

Short answer

$T=1.2 \sec$

The period represents the time taken by an individual for one breath cycle that is the time taken by the heart to beat once.

Step-by-step solution

The given function is

$p\left(t\right)=-20\cos \left(300t\right)+100$

Where$p$ is the blood pressure in millimeters and $t$ is the time in seconds.

We have to find the period of the function

(a).

If $y=A\cos \left[k\left(x-d\right)\right]+c$

Then period $T=\frac{360°}{\left|k\right|}$

On comparing we get $k=300°$

So, the period of the function is:

$\begin{array}{rcl}T& =& \frac{360°}{\left|k\right|}\\ & =& \frac{360°}{\left|300\right|}\\ & =& \frac{360°}{300}\\ & =& 1.2\\ & & \end{array}$

So, we get $T=1.2 \sec$

The period represents the time taken by an individual for one breath cycle that is the time taken by the heart to beat once