Find the maximum and minimum values of `sin^4x+cos^2x` and hence or otherwise find the maximum value of `sin^(1000)x+cos^(2008)x`

Find the maximum and minimum values of sin^(4)x+cos^(2)x and hence or otherwise find the maximum value of sin^(1000)x+cos^(2008)x

(i) Find the maximum and minimum values of sin^(4)x + cos^(2)x and hence or otherwise find the maximum value of sin^(1000)x + cos^(2008)x . (ii) Find the maximum value of cos (cos x).

(i) Find the maximum and minimum values of sin^(4)x + cos^(2)x and hence or otherwise find the maximum value of sin^(1000)x + cos^(2008)x . (ii) Find the maximum value of cos (cos x)

Find the maximum and minimum values of sin^(6)x + cos^(6)x .

Find the maximum and minimum values of sin^(6)x + cos^(6)x .

Find the maximum and minimum value of 24 sin x +7 cos x

Find the minimum and maximum values of sin2x-cos2x

Find the minimum and maximum values of sin2x-cos2x

Find the maximum and minimum values of sin^(6) x+ cos^(6) x.

Find the maximum and minimum value of 3 sin 2x+4 cos 2x+3 .