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.

Answer 1

Answer: $p=7, q=3$

Step-by-step explanation:

The midline of the function is

$\frac{10-4}{2}=3 \implies q=3$

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