Question

the greatest value of the function -5 sin theta+ 12cos theta is ?
1) 12
2) 13
3) 7
4) 17

Answer 1

The maximum value of sin and cos are 1
So replacing sin theta and cos theta by one it will become 12+5=17

Answer 2

Answer: 7.

Step-by-step explanation:

Given function: $-5\sin\theta+12\cos\theta$

We know that the maximum value of sine function and cosine function is 1.

Therefore, substitute the maximum values of the both the functions in the given function we get,

$-5(1)+(12)=-5+12=7$

Hence, the  greatest value of the function$-5\sin\theta+12\cos\theta$ = 7.