\(A=\frac{cosx}{sinx}-\frac{sinx}{cosx}-\frac{2sin2x}{cos2x}-\frac{4sin4x}{sin4x}-\frac{8sin8x}{cos8x}\)
\(A=\frac{cos^2x-sin^2x}{sinx.cosx}-\frac{2sin2x}{cos2x}-\frac{4sin4x}{cos4x}-\frac{8sin8x}{8cos8x}\)
\(A=\frac{2cos2x}{sin2x}-\frac{2sin2x}{cos2x}-\frac{4sin4x}{cos4x}-\frac{8sin8x}{8cos8x}\)
\(A=\frac{2cos^22x-2sin^22x}{sin2x.cos2x}-\frac{4sin4x}{cos4x}-\frac{8sin8x}{8cos8x}\)
\(A=\frac{4cos4x}{sin4x}-\frac{4sin4x}{cos4x}-\frac{8sin8x}{8cos8x}=\frac{8cos8x}{sin8x}-\frac{8sin8x}{cos8x}\)
\(A=\frac{16cos16x}{sin16x}=16cot16x\)
\(B=\frac{1}{2}.2sinx.cosx.cos2x.cos4x.cos8x\)
\(B=\frac{1}{2}sin2x.cos2x.cos4x.cos8x\)
\(B=\frac{1}{4}sin4x.cos4x.cos8x\)
\(B=\frac{1}{8}sin8x.cos8x\)
\(B=\frac{1}{16}sin16x\)
