Find the general solution of the equation `5cos^(2)theta+7sin^(2)theta-6=0`.

Explanation

To find the general solution of the equation \( 5\cos^2\theta + 7\sin^2\theta - 6 = 0 \), we can follow these steps:

### Step 1: Use the Pythagorean Identity
We know that \( \sin^2\theta + \cos^2\theta = 1 \). Therefore, we can express \( \sin^2\theta \) in terms of \( \cos^2\theta \):
\[ \sin^2\theta = 1 - \cos^2\theta \]

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