https://file.aiquickdraw.com/mathbot/file/1725482164857xwtd9b1j.jpg

The image provided contains partially obscured text, but I will attempt to extract as much useful information as possible.

From what I can interpret, the text mentions:
- Something involving an angle and a specific trigonometric ratio.
- A mathematical expression involving \(\sin(\theta)\), with a possible equation of \(2 \sin(\theta) = 1\).
- A request to calculate the angle \(\theta\).

Based on the partial equation \(2 \sin(\theta) = 1\), we can proceed to solve for \(\theta\).

### Solution:
1. Divide both sides of the equation by 2:
   \[
   \sin(\theta) = \frac{1}{2}
   \]

2. The angle \(\theta\) whose sine is \(\frac{1}{2}\) corresponds to:
   \[
   \theta = 30^\circ \text{ or } \theta = 150^\circ
   \]
   in degrees (using the principal values of sine).

Would you like further clarification or any additional details on solving trigonometric equations?

Here are some related questions:
1. What are the other trigonometric functions (cosine, tangent) for these angles?
2. How do we find angles in radians from sine values?
3. What is the general solution for \(\sin(\theta) = \frac{1}{2}\)?
4. How do inverse trigonometric functions work in solving such equations?
5. How does this solution relate to unit circle concepts?

**Tip:** Remember that sine functions repeat every \(360^\circ\) (or \(2\pi\) radians), so solutions can have multiple forms!

What is the angle θ such that 2sin(θ) = 1?

Explore how to solve the trigonometric equation 2sin(θ) = 1 with a detailed step-by-step guide. Understand the concepts of sine functions, principal values, and their application in solving for angles. Suitable for students in Grades 10-12.

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