Find the extreme values of `3sin^(2)x+5cos^(2)x`.

Find the extreme values of sin 2x -cos 2x over R.

Find the extreme values of cos 2x+cos^2x

Find the extreme values of 11 cos^(2) x+ 15 sin x cos x- 9 sin^(2) x .

Find the extreme values of cos^(2) theta - sin^(2) theta

The extreme values of cos^(6) x + sin^(6) x are

Find the extreme values of (1+ sin ((pi)/(4) + x) + cos ((pi)/(4) - x))

The extreme value of x^2 - 5x +6 is

The minimum value of 3 sin^2x + 4 cos^(2) x is

Find the extreme values of the following function over R. (i) sin^(2) (60^(0) + x) + sin^(2) (60^(0) - x) (ii) cos (x+ (Pi)/(3) ) + 2sqrt(2) sin (x+ (pi)/(3))-3 (iii) 3 sin^(2) x+ 5 cos^(2) x (iv) cos 2 x+ cos^(2) x (v ) cos x cos ((2pi)/(3) + x) cos ((2pi)/(3)-x)