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Triangle Sides Calculator Using Trigonometry

Trigonometry Formula:

\[ c = \frac{a}{\sin(A)} \times \sin(C) \]

length units
degrees
degrees

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1. What is the Trigonometry Side Calculation?

The trigonometry side calculation uses the Law of Sines to determine unknown sides of a triangle when you know one side and two angles. This is particularly useful in various fields including engineering, physics, and navigation.

2. How Does the Calculator Work?

The calculator uses the Law of Sines formula:

\[ c = \frac{a}{\sin(A)} \times \sin(C) \]

Where:

Explanation: The Law of Sines relates the lengths of sides of a triangle to the sines of its opposite angles.

3. Importance of Trigonometry in Triangle Calculations

Details: Accurate side calculation is crucial for solving triangles in various applications including construction, navigation, and computer graphics.

4. Using the Calculator

Tips: Enter known side length in any units, angles in degrees. All values must be valid (side > 0, angles between 0-180°). The result will be in the same units as your input side.

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for right triangles?
A: Yes, but simpler right triangle trigonometry (SOHCAHTOA) might be more straightforward for right triangles.

Q2: What if I know two sides and one angle?
A: You would use the Law of Cosines instead for that case.

Q3: Does this work for any triangle?
A: Yes, the Law of Sines works for all types of triangles - acute, obtuse, and right-angled.

Q4: What units should I use for angles?
A: This calculator expects angles in degrees. Convert radians to degrees first if needed.

Q5: Why might my calculation be inaccurate?
A: Ensure your angles add up to less than 180° (triangle angle sum) and you've entered values correctly.

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