1. **State the problem:** Calculate $\tan 60^\circ + \sin 30^\circ$.
2. **Recall the values:**
- $\tan 60^\circ = \sqrt{3}$
- $\sin 30^\circ = \frac{1}{2}$
3. **Add the values:**
$$\tan 60^\circ + \sin 30^\circ = \sqrt{3} + \frac{1}{2}$$
4. **Final answer:**
$$\sqrt{3} + \frac{1}{2}$$
This is the exact value of the expression.
Tan Sin Sum E515Af
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