Trigonometry Examples

$\sin (3 x) + \cos (3 x)$

Step 1

Apply the sine triple-angle identity.

$- 4 \sin^{3} (x) + 3 \sin (x) + \cos (3 x)$

Step 2

Use the triple-angle identity to transform $\cos (3 x)$ to $4 \cos^{3} (x) - 3 \cos (x)$ .

$- 4 \sin^{3} (x) + 3 \sin (x) + 4 \cos^{3} (x) - 3 \cos (x)$