Math Problem Statement
What is the angle θ such that 2sin(θ) = 1?
Solution
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 , with a possible equation of .
- A request to calculate the angle .
Based on the partial equation , we can proceed to solve for .
Solution:
-
Divide both sides of the equation by 2:
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The angle whose sine is corresponds to: 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:
- What are the other trigonometric functions (cosine, tangent) for these angles?
- How do we find angles in radians from sine values?
- What is the general solution for ?
- How do inverse trigonometric functions work in solving such equations?
- How does this solution relate to unit circle concepts?
Tip: Remember that sine functions repeat every (or radians), so solutions can have multiple forms!
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Solving Trigonometric Equations
Formulas
sin(θ) = 1/2
Theorems
Trigonometric functions and their principal values
Suitable Grade Level
Grades 10-12