If `y=(sinx+cos e cx)^2+(cosx+secx)^2` , then the minimum value of `y ,AAx in R ,`

If x ,y in R and x^2+y^2+x y=1, then find the minimum value of x^3y+x y^3+4.

Let f(x)=2cos e c2x+secx+cos e cxdot Then find the minimum value of f(x)forx in (0,pi/2)dot

If x , y in R satisfies (x+5)^2+(y-12)^2=(14)^2, then the minimum value of sqrt(x^2+y^2) is__________

If 2cosx+sinx=1, then find the value of 7cosx+6sinxdot

If L=lim_(x->0)(e^(-(x^2/2))-cosx)/(x^3 sinx), then the value of 1/(3L) is

If sinx+siny geq cosa cosx, AA x in R then siny+cos a=

If x,y in R^(+) such that x + y = 8, then find the minimum value of (1 + (1)/(x)) (1 + (1)/(y))

Find int(cos2x)/((cosx+sinx)^(2))dx .

If sin(sinx+cosx)=cos(cosx-sinx), and largest possible value of sinxi spi/k , then the value of k is______.

If 0 < x < 5/4 and cosx+sinx=5/4 then the value of 16(cosx-sinx)^2 is