Simplify :
` Sin^2x   Cos^2x`

Simplify: (sin^(6)x+cos^(6)x)/(sin^(2)x cos^(2)x)

Simplify cos x . Sin (y-z)+cos y. sin (z-x)+cos z.(x-y) where x,y,z in R

Simplify sin cot^(-1)tan cos^(-1)x,x>0

Simplify: ^(*)sin^(^^)(-1)((sin x+cos x)/(sqrt(2))),backslash-pi/4

Evaluate : ( sin^3x + Cos^3x ) / ( sin^2x - cos^2x )

Simplify tan^(-1)((cos(x/2)+sin(x/2))/(cos(x/2)-sin(x/2)))

If (pi)/(4)

Simplify each of the following: sin^(-1)((sin x+cos x)/(sqrt(2)))

If the maximum and minimum values of the determinant |(1 + sin^(2)x,cos^(2) x,sin 2x),(sin^(2) x,1 + cos^(2) x,sin 2x),(sin^(2) x,cos^(2) x,1 + sin 2x)| are alpha and beta , then