Trigonometry Examples

$4 (\sin^{6} (u) + \cos^{6} (u)) - 3 {(\cos^{2} (u) - \sin^{2} (u))}^{2}$

Step 1

Apply the distributive property.

$4 \sin^{6} (u) + 4 \cos^{6} (u) - 3 {(\cos^{2} (u) - \sin^{2} (u))}^{2}$

Step 2

Apply the cosine double-angle identity.

$4 \sin^{6} (u) + 4 \cos^{6} (u) - 3 \cos^{2} (2 u)$