[" (y) ",[2018A]],[((cos x)/(1+sin x)),[2018A]],[," to "x]

|[y,sin x,cos x],[cos x,1,y],[-sin x,-y,1]|=

If y = ( sin x)/(1 + ( cos x)/(1 + (sin x)/(1 + cos x . . . . ))) then find ( dy)/( dx)

7.Show that | [1, cos x-sin x, cos x+sin x], [1, cos y-sin y, cos y+sin y ],[1, cos z-sin z ,cos z+sin z ]|=2| [1 ,cos x, sin x], [1, cos y, sin y ],[1, cos z, sin z] |

Prove that |(1,x,1),(0,cos x, sin y),(0 , sin x, cos y )|=cos (x+y)

If y = Tan ^(-1) ((cos x- sin x)/(cos x + sin x)) then (d ^(2) y)/(dx ^(2))=

|[cos(x+y),-sin(x+y),cos2y],[sin x,cos x,sin y],[-cos x,sin x,-cos y]|=

tan y = (sin x + 1-cos x) / (sin x-1 + cos x)

If F(x)=[("cos"x,-sin x,0),(sin x,cos x,0),(0,0,1)] and G(y)=[(cos y,0,sin y),(0,1,0),(-sin y,0,cos y)] , then [F(x) G(y)]^(-1) is equal to

If F(x)=[("cos"x,-sin x,0),(sin x,cos x,0),(0,0,1)] and G(y)=[(cos y,0,sin y),(0,1,0),(-sin y,0,cos y)] , then [F(x) G(y)]^(-1) is equal to