In right angled triangle ABC, right angled at C, show that `tanA+tanB=(c^2)/(ab)`.

Explanation

To prove that in a right-angled triangle ABC, right-angled at C, the equation \( \tan A + \tan B = \frac{c^2}{ab} \) holds, we will follow these steps:

### Step 1: Understand the Triangle
In triangle ABC, let:
- \( C \) be the right angle.
- \( a \) be the length of side BC (opposite angle A).
- \( b \) be the length of side AC (opposite angle B).
- \( c \) be the length of hypotenuse AB.
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