find the value for `x` `F(x)=|[cos x,-sin x,0],[sin x,cos x,0],[0,0,1]|`

Given that F(x)=[{:(,cos x,-sin x,0),(,sin x,cos x,0),(,0,0,1):}]."If"in R Then for what values of y, F(x+y)=F(x)F(y)

The value of int_(0)^(2pi) |cos x -sin x|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

Solve the equation sin x + cos x -2sqrt2 sin x cos x =0

Find The Derivative 0f y=e^(x)sin x cos x

Draw the graph of f(x) sin^(-1)|sin x|+cos^(-1) (cos x) . Find the range of the function. Find the points of non-differentiability. Also find the value of int_(0)^(10pi)[sin^(-1)|sin x|+cos^(-1)(cos x)] dx

" Let " =|{:(cos x,,sin x,,cosx),( cos 2x,,sin 2x,,2cos 2x),(cos 3x,,sin 3x,,3cos 3x):}| then find the values of f(0) and f' (pi//2) .

Number of solutions of the equation sin x + cos x-2sqrt(2) sin x cos x=0 for x in [0, pi] is

Find the general solution : sin 2x + cos x = 0

3sin^(2)x-7sin x +2=0, x in [0,(pi)/(2)] and f_(n)(theta)=sin^(n) theta + cos^(n) theta . On the basis of above information, the value of ( sin 5 x + sin 4 x)/( 1+ 2 cos 3 x) is: