Question

5 sin(x)+ 12 cos(x) + r is always greater than or equal to zero. What is the smallest value satisfied by 'r' ?

Answer 1

Answer:

Step-by-step explanation:

For smallest value of r

-r = 5sin(x)+12cos(x) = -[(5^2)+(12^2)]^1/2

= - [25 + 144]^1/2 = - [169]^1/2 = -13

-r = -13

r = 13