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: Rewrite the equation using the Pythagorean identity
We know that \( \sin^2\theta + \cos^2\theta = 1 \). We can express \( \cos^2\theta \) in terms of \( \sin^2\theta \):
\[ \cos^2\theta = 1 - \sin^2\theta \]
Substituting this into the equation gives:
...