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Trig Right Triangle Calculator

Right Triangle Formulas:

\[ \tan(θ) = \frac{opp}{adj} \] \[ \sin(θ) = \frac{opp}{hyp} \] \[ \cos(θ) = \frac{adj}{hyp} \]

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1. What is a Right Triangle Calculator?

Definition: This calculator solves for missing sides and angles in right triangles using trigonometric functions.

Purpose: It helps students, engineers, and designers quickly calculate triangle dimensions without manual trigonometry.

2. How Does the Calculator Work?

The calculator uses these trigonometric formulas:

\[ \tan(θ) = \frac{opp}{adj} \] \[ \sin(θ) = \frac{opp}{hyp} \] \[ \cos(θ) = \frac{adj}{hyp} \]

Where:

Explanation: Enter any two values (two sides or one side and the angle) to calculate the remaining dimensions.

3. Importance of Right Triangle Calculations

Details: Right triangle trigonometry is fundamental in construction, navigation, engineering, and physics applications.

4. Using the Calculator

Tips:

5. Frequently Asked Questions (FAQ)

Q1: What's the minimum information needed?
A: You need any two values (two sides or one side and one angle).

Q2: How accurate are the calculations?
A: Results are accurate to 3 decimal places, sufficient for most practical applications.

Q3: Can I calculate area with this?
A: Not directly, but area = 0.5 × opp × adj once you have both sides.

Q4: What if I get an error?
A: Ensure you've entered exactly two values and they form a valid right triangle.

Q5: Does this work for non-right triangles?
A: No, this calculator is specifically for right-angled triangles only.

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