Trigonometry Examples

tan (40) - \frac{sin (40)}{cos (40)}

$\tan (40) - \frac{\sin (40)}{\cos (40)}$

Step 1

Rewrite

tan (40)

$\tan (40)$ in terms of sines and cosines.

\frac{sin (40)}{cos (40)} - \frac{sin (40)}{cos (40)}

$\frac{\sin (40)}{\cos (40)} - \frac{\sin (40)}{\cos (40)}$

Step 2

Combine the numerators over the common denominator.

\frac{sin (40) - sin (40)}{cos (40)}

$\frac{\sin (40) - \sin (40)}{\cos (40)}$

Step 3

Subtract

sin (40)

$\sin (40)$ from

sin (40)

$\sin (40)$ .

\frac{0}{cos (40)}

$\frac{0}{\cos (40)}$

Step 4

Divide

0

$0$ by

cos (40)

$\cos (40)$ .

0

$0$