Find the Exact Value tan(10 degrees )cot(10 degrees )

$\tan (10 °) \cot (10 °)$

Step 1

Reorder $\tan (10 °)$ and $\cot (10 °)$ .

$\cot (10 °) \tan (10 °)$

Step 2

Rewrite $\tan (10 °) \cot (10 °)$ in terms of sines and cosines.

$\frac{\cos (10 °)}{\sin (10 °)} \cdot \frac{\sin (10 °)}{\cos (10 °)}$

Step 3

Cancel the common factors.

$1$