https://file.aiquickdraw.com/mathbot/file/1725382550295ax16qy9y.jpg

The equation given in the image is:

\[
\cos(\theta) \cdot (\cos(\theta) - 2) = 1 \quad \text{for} \quad -\pi \leq \theta \leq \pi.
\]

Let's solve this equation step by step.

### Step 1: Expand the Equation
First, we expand the equation:

\[
\cos^2(\theta) - 2\cos(\theta) = 1
\]

### Step

Solve the equation cos(θ) * (cos(θ) - 2) = 1 for -π ≤ θ ≤ π.

Learn how to solve the trigonometric equation cos(θ) * (cos(θ) - 2) = 1 within the interval -π ≤ θ ≤ π. This problem involves key trigonometric concepts and equation solving, suitable for students in Grades 11-12.

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