Question

The function g(x) = p sin x +q, where p>0, has a maximum value of 10 and a minimum value of -4. Find the value of p and of q.

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Answer 1

Answer:
`p=7, q=3`

Explanation:

The midline of the function is

`(10-4)/(2)=3 \implies q=3`

This means that to obtain a maximum of 10, when
`\sin x` reaches it's maximum, 1,
`g(x)=p+q=10 \implies p=7`