Solve `4costheta-3sectheta=tantheta`

Explanation

To solve the equation \(4 \cos \theta - 3 \sec \theta = \tan \theta\), we will follow these steps:

### Step 1: Rewrite the equation using trigonometric identities
The secant and tangent functions can be expressed in terms of cosine and sine:
\[ \sec \theta = \frac{1}{\cos \theta} \quad \text{and} \quad \tan \theta = \frac{\sin \theta}{\cos \theta} \]
Substituting these into the equation gives:
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