" 10.सिद्ध कीजिए। "quad |[1,x,y],[0,cos x,sin y],[0,sin x,cos y]|=cos(x+y)

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

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

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

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

Solve the following determinant : det[[1,x,y0,cos x,sin y0,sin x,cos y]]

Solve the following determinant : det[[1,x,y0,cos x,sin y0,sin x,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

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