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:

2

-10

-2

10

Answer 1

2

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-(\pi)/(2))+4\\6=aSin(\pi-(\pi)/(2))+4\\6=aSin((\pi)/(2))+4\\6=a(1)+4\\6=a+4\\a=6-4\\a=2`

The answer is 2

Note: the value of
`Sin((\pi)/(2))` is 1