Trigonometry Examples

$\frac{\cos (5 t) + \cos (3 t)}{\sin (5 t) + \sin (3 t)}$

Step 1

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

$\frac{\cos (5 t) + 4 \cos^{3} (t) - 3 \cos (t)}{\sin (5 t) + \sin (3 t)}$

Step 2

Apply the sine triple-angle identity.

$\frac{\cos (5 t) + 4 \cos^{3} (t) - 3 \cos (t)}{\sin (5 t) - 4 \sin^{3} (t) + 3 \sin (t)}$