Maximum and Minimum of Equation
Algebra
Level
4
The numbers \( a\) and \(b \) are positive integers both greater than 5. The function \[ f(x) = \cos ^2 x - a \sin x + b \] has a maximum of \(34\) and a minimum of \(12\). What is the value of the product \( a \times b\)?
by
Calvin Lin