If `tan^2theta=1-a^2,` prove that`s e ctheta+tan^3thetacos e ctheta=(2-a^2)^(3/2)`

Explanation

To prove the identity \( \sec \theta + \tan^3 \theta \cdot \csc \theta = (2 - a^2)^{3/2} \) given that \( \tan^2 \theta = 1 - a^2 \), we will follow these steps:

### Step 1: Start with the Left-Hand Side (LHS)
We start with the expression:
\[ \text{LHS} = \sec \theta + \tan^3 \theta \cdot \csc \theta \]

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