Simplify or expand :
`Sin^3x + Cos^6x`

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

Simplify each of the following: cos^(-1)((3)/(5)cos x+(4)/(5)sin x), where -(3 pi)/(4)<=x<=(pi)/(4)

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

Simplify tan^(-1)[(a cos x-b sin x)/(b cos x+a sin x)], if (a)/(b)tan x>-1

Solve sin x-3 sin 2x + sin 3x = cos x -3 cos 2x + cos 3x .

When the determinant |{:(cos2x,sin^(2)x,cos4x),(sin^(2)x,cos2x,cos^(2)x),(cos4x,cos^(2)x,cos2x):}| is expanded in powers of sin x , the constant term in than or equal to expression is

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