[" (NCERT) "6.|[cos x,sin x],[sin x,cos x]|]

Let F(x)=|[1,1+sin x,1+sin x+cos x],[2,3+2sin x,4+3sin x+2cos x],[3,6+3sin x,10+6sin x+3cos x]| then the value of F'((pi)/(2)) =

Prove that sin 5 x cos 2x + cos 6 x sin 3 x = sin 8x cos x

The period of function (|sin x|+|cos x|)/(|sin x-cos x|+|sin x+cos x|) is :

The period of function (|sin x|+|cos x|)/(|sin x-cos x|+|sin x+cos x|) is :

(sin x+x cos x)/(x sin x-cos x)

Prove that: (i) sin 3x+"sin" 2x-"sin" x = 4 sin x cos((x)/(2))cos((3x)/(2)) (ii) ("sin" 3x+"sin" x)"sin" x+(cos 3x-cos x)cos x=0.

(cos 4x sin 3x -cos 2x sin x )/(sin 4x sin x+ cos 6x cos x)= tan 2x

Prove that : (cos 4x sin 3x - cos 2x sin x)/(sin 4x .sin x + cos 6x .cos x) = tan 2x

2tan2x = (cos x + sin x) / (cos x-sin x) - (cos x-sin x) / (cos x + sin x)

Prove that (cos x + sin x)/(cos x - sin x) - (cos x - sin x)/(cos x + sin x) = 2 tan x