Find the minimum value of `2costheta+1/sin theta+sqrt2tantheta`, where `theta` is acute angle.

Explanation

To find the minimum value of the expression \( E = 2 \cos \theta + \frac{1}{\sin \theta} + \sqrt{2} \tan \theta \), where \( \theta \) is an acute angle, we can apply the Arithmetic Mean-Geometric Mean (AM-GM) inequality.

### Step-by-step Solution:

1. **Identify the terms**: We have three terms in the expression:
- \( a = 2 \cos \theta \)
- \( b = \frac{1}{\sin \theta} \)
- \( c = \sqrt{2} \tan \theta \)
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