Question

If the point P(π,6) lies on the graph of h(θ)=asin⁡(θ−π/2)+4, then the value of a is:

Answer 1

Answer:

2

Step-by-step explanation:

We should put π in place of $\theta$ and 6 in place of $h(\theta)$ in the equation given and then do algebra to find the value of $a$. Steps are shown below:

$h(\theta)=aSin(\theta-\frac{\pi}{2})+4\\6=aSin(\pi-\frac{\pi}{2})+4\\6=aSin(\frac{\pi}{2})+4\\6=a(1)+4\\6=a+4\\a=6-4\\a=2$

The answer is 2

Note: the value of $Sin(\frac{\pi}{2})$  is 1