Find the Exact Value tan(70 degrees )-(sin(70 degrees ))/(cos(70 degrees ))

$\tan (70 °) - \frac{\sin (70 °)}{\cos (70 °)}$

Step 1

Rewrite $\tan (70 °)$ in terms of sines and cosines.

$\frac{\sin (70 °)}{\cos (70 °)} - \frac{\sin (70 °)}{\cos (70 °)}$

Step 2

Combine the numerators over the common denominator.

$\frac{\sin (70 °) - \sin (70 °)}{\cos (70 °)}$

Step 3

Subtract $\sin (70 °)$ from $\sin (70 °)$ .

$\frac{0}{\cos (70 °)}$

Step 4

Divide $0$ by $\cos (70 °)$ .

$0$