Solve `sin^(2)theta-costheta=1/4` for `theta` and write the values of `theta` in the interval `0 lethetale2pi`

Explanation

To solve the equation \( \sin^2 \theta - \cos \theta = \frac{1}{4} \) for \( \theta \) in the interval \( [0, 2\pi] \), we can follow these steps:

### Step 1: Rewrite the equation
We start with the given equation:
\[ \sin^2 \theta - \cos \theta = \frac{1}{4} \]
We can use the Pythagorean identity \( \sin^2 \theta = 1 - \cos^2 \theta \) to express everything in terms of \( \cos \theta \):
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