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

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

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] |

If y = |{:(sin x , cos x , sin x),(cos x,-sin x, cos x),(x, 1, 1):}| , then (dy)/(dx) is

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

cos (x + y), sin (x + y), - cos (x + y) sin (xy), cos (xy), sin (xy) sin2x, 0, sin2y] | = sin2 (x + y)

What is the value of {sin (x+y) -2 sin x+ sin(x-y)} /[cos (x-y) +cos (x+ y)-2 cos x] xx [(sin 10x- sin 8x)/ (cos-10x + cos 8x)] ? {[sin (x+y] -2 sin x+ sin(x-y)}//[cos (x-y) +cos (x+ y)-2 cos x]} xx [(sin 10x-sin 8x)//(cos10x + cos 8x)] का मान क्या है?

Prove that : (sin (x+y))/(sin (x-y) )= (sin x. cos y + cos x . Sin y)/(sin x. cos y-cos x. sin y)

The value of (sin x cos y + cos x sin y)^2+(cos x cos y -sin x sin y)^2 is equal to

What ( sin x cos y + cos x sin y) (sin x cos y - cos x sin y) equal to ?