Show that value of the determinant `|[a,sinx,cosx],[-sinx,-a,1],[cosx,1,a]|` is independent of x.

|[cosx,-sinx],[sinx,cosx]|

Solve |[y,sinx,cosx] , [cosx,1,y] , [-sinx,-y,1]|

Find the value of : |(y,sinx,cosx),(cosx,1,y),(-sinx,-y,1)|

If y= |[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1,1]| , find (dy)/(dx)

Show that : 3(sinx-cosx)^4+6(sinx+cosx)^2+4(sin^6x-cos^6x) is independent of x

What is the minimum value of |[sin x ,cosx], [-cosx, 1+ sinx]| ?

If, x,y inR , then the determinant: Delta=|(cosx,-sinx,1),(sinx,cosx,1),(cos(x+y),-sin(x+y),0)| lies in the interval .

If y=|[sinx,cosx,sinx],[cosx,-sinx,cosx],[x,1, 1]| find (dy)/(dx)dot

Evaluate the following determinants: |(sinx,cosx,sinx+cosx),(siny, cosx, sin y + cosx),(sinz,cosx, sinz+cosx)|