Find the minimum value of `4^sin^(2x)+4^cos^(2x)` .

Find the minimum value of sin x + cos x.

Find the minimum value of 2^("sin" x) + 2^("cos" x)

Find the maximum value of 4sin^(2)x+3cos^(2)x+sin((x)/(2))+cos((x)/(2))

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

Find the maximum and minimum value of sin^(2)x+4cos2x, for x in R

Find the minimum value of f(x)=(x^(2)sin^(2)x+4)/(x sin x), where x in(0,(pi)/(2))

(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 minimum value of (x^4 + 4 )/ x^2 is

Find the minimum and maximum values of sin2x-cos2x

Find the minimum and maximum value of sin^(4)x+cos^(2) x where x in R