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

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

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

The maximum value of 4 sin^(2) x + 3 cos^(2) x + sin ""(x)/(2) + cos"" (x)/(2) is

Let x,y in R , then find the maximum and minimum values of expression (x^(2)+y^(2))/(x^(2)+xy+4y^(2)) .

Evaluate : int_(0)^(pi/2)(sin^(2)x + cos^(4)x)dx

Column I Column II The value of ((4+sec20^0)/(cosec20^0))^2 , is p. 1 The minimum value of (1+cos2x+8sin^2x)/(2sin2x),x(0,pi/2) is q. 2 The value of (8sin40^0dotsin50^0dottan10^0)/(cos80^0) r. 3 If (cos5A)/(cosA)+(sin5A)/(sinA)=a+bcos4A , then (a^2)/b is s. 4

Find the maximum and minimum values of x + sin 2x on [0, 2 pi ].

Evaluate int_(0)^(pi/2)(sin^(2)x+cos^(4)x) dx