Reduce each of the following expressions to the sine and cosine of a single expression: `24 costheta+7s intheta`

Explanation

We know that the maximum and minimum values of `acosx+bsinx `are `sqrt(a^2+b^2)`
​ and `−sqrt(a^2+b^2)`
​


Hence, the maximum and minimum values of `7sintheta+24costheta `are `sqrt(7^2+24^2)
​=25 `

and `−sqrt(7^2+24^2)
​=−25`.