Subjects trigonometry

Tan 20 A23E69

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1. **Problem statement:** Calculate $\tan(20^\circ)$. 2. **Recall the definition:** $\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$. 3. **Using a calculator or trigonometric tables:** $\sin(20^\circ) \approx 0.3420$, $\cos(20^\circ) \approx 0.9397$. 4. **Calculate:** $$\tan(20^\circ) = \frac{0.3420}{0.9397} \approx 0.3639.$$ 5. **Interpretation:** The tangent of 20 degrees is approximately 0.3639, which means the ratio of the opposite side to the adjacent side in a right triangle with a 20-degree angle is about 0.3639. **Final answer:** $$\boxed{\tan(20^\circ) \approx 0.3639}$$