sin x+cos x=1

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

The number of solutions of sin x+cos.x=sin^(-1)x+cos ec^(-1)x is

Show that value of the determinant a,sin x,cos x-sin x,-a,1cos x,1,a]| is independent of x.

int(2sin x)/((3+sin2x))dx is equal to (1)/(2)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+c(1)/(2)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(2sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+c(1)/(4)ln|(2+sin x-cos x)/(2-sin x+cos x)|-(1)/(sqrt(2))tan^(-1)((sin x+cos x)/(sqrt(2)))+cnone of these

The minimum value of sin x((1-cos x)/(sin x)+(sin x)/(1-cos x)) is

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

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

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

If A=[[1,-sin x,1],[-cos x,1,sin x],[-1,cos x,1]] Find det (A)