Solve the equations.`2tan^(-1)(cosx)=tan^(-1)(2cose c x)`

Explanation

To solve the equation \( 2 \tan^{-1}(\cos x) = \tan^{-1}(2 \cos x) \), we will follow these steps:

### Step 1: Use the identity for \( 2 \tan^{-1}(x) \)
We can use the identity for \( 2 \tan^{-1}(x) \):
\[ 2 \tan^{-1}(x) = \tan^{-1}\left(\frac{2x}{1 - x^2}\right) \]
Applying this identity to our equation, we have:
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