Chapter 7 - Trigonometry and Periodic Functions - 7.6 The Tangent Function - Exercises and Problems for Section 7.6 - Exercises and Problems - Page 303: 9

1.73

To evaluate trigonometric functions without a calculator, it is necessary to use the unit circle. Doing this, we find that the function evaluates to: $$tan(\frac{\pi}{3}) =\frac{sin\frac{\pi}{3}}{cos\frac{\pi}{3}}=1.73$$