If `(3-tan^2(pi/7))/(1-tan^2(pi/7))=kcos(pi/7)` then the value of `k` is (a)1 (b) 2 (c) 3 (d) 4

Explanation

To solve the equation \(\frac{3 - \tan^2(\frac{\pi}{7})}{1 - \tan^2(\frac{\pi}{7})} = k \cos(\frac{\pi}{7})\), we will follow these steps:

### Step 1: Set \(\theta = \frac{\pi}{7}\)
Let \(\theta = \frac{\pi}{7}\). Hence, we can rewrite the equation as:
\[ \frac{3 - \tan^2(\theta)}{1 - \tan^2(\theta)} = k \cos(\theta) \]

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