Find the maximum and minimum values of the expression: `a cos theta + b sin theta`

Let the maximum and minimum value of the expression 2 cos^(2) theta + cos theta + 1 is M and m respectively, then the value of [M/m] is (where [.] is the greatest integer function)

Find the maximum and minimum values of the following expressions (i) a cos theta - bsin theta (ii) 7 cos theta + 24 sin theta

Find the maximum and minimum values of the following expressions. (i) 3costheta+5sin(theta-pi/6) (ii) 4sintheta-3costheta+7

Find the maximum and minimum value of cos^(2) theta- 6 sin theta cos theta + 3 sin^(2) theta + 2 .

Find the maximum and minimum values of cos^2theta-6sinthetacostheta+3sin^2theta+2.

Find the maximum and minimum values of cos^2theta-6s inthetacostheta+3sin^2theta+2.

Maximum and minimum value of 2sin^(2)theta-3sintheta+2 is-

The minimum and maximum values of expression y=costheta(sintheta+sqrt(sin^2theta+sin^2alpha))

Find the maximum and minimum value of 5cos theta+3sin(theta+(pi)/(6)) for all real values of theta . .

Find the maximum and minimum values of each of the following trigonometrical expression: 12 sin theta-5costheta