Find the maximum and minimum values of 5 cos theta + 12 sin theta + 12 Share with your friends Share 5 Anuradha Sharma answered this As we know that, acosθ+bsinθ lies between -a2+b2 and a2+b2 So for 5cosθ+12sinθ wll lies between -52+122 and 52+122 or -13≤5cosθ+12sinθ≤13Now adding 12 we get, -13+12≤5cosθ+12sinθ+12≤13+12-1≤5cosθ+12sinθ+12≤25So minimum value = -1And maximum value = 25 11 View Full Answer