https://file.aiquickdraw.com/mathbot/file/1725364157386pgemdivm.jpg

I see you've uploaded an image with some math problems. Let me extract the text and solve the problems for you.

### Extracted Problems from the Image:

1. **Solve for \(x\):**
   \[
   \frac{\sin x - 2 \sin^3 x}{\cos^3 x} = \cot x
   \]

2. **Determine \(a\

The query submitted by the user: I see you've uploaded an image with some math problems. Let me extract the text and solve the problems for you.

### Extracted Problems from the Image:

1. **Solve for \(x\):**
   \[
   \frac{\sin x - 2 \sin^3 x}{\cos^3 x} = \cot x
   \]

2. **Determine \(a\

Learn how to solve the trigonometric equation \(\frac{\sin x - 2 \sin^3 x}{\cos^3 x} = \cot x\) with a detailed step-by-step solution. This problem covers key trigonometric concepts and identities. Suitable for undergraduate level students.

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