Trigonometry Calculator Right Triangle

Right Triangle Formulas:

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

Opposite Side (opp):

Adjacent Side (adj):

Hypotenuse (hyp):

Angle (θ): degrees

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is a Right Triangle Trigonometry Calculator?

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

Purpose: It helps students, engineers, and professionals quickly solve right triangle problems without manual calculations.

2. How Does the Calculator Work?

The calculator uses the trigonometric formulas:

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

Where:

\( opp \) — Side opposite to angle θ (meters)
\( adj \) — Side adjacent to angle θ (meters)
\( hyp \) — Hypotenuse (meters)
\( \theta \) — Angle in degrees (between 0° and 90°)

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

3. Practical Applications

Details: Used in construction, navigation, engineering, and physics for calculating distances, heights, and angles.

4. Using the Calculator

Tips:

Enter any two known values (two sides or one side and angle)
Leave other fields empty to be calculated
Angle must be between 0° and 90°
All lengths are in meters

5. Frequently Asked Questions (FAQ)

Q1: What if I know the hypotenuse and one side?
A: The calculator will determine the missing side using Pythagorean theorem and the angle using inverse trig functions.

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

Q3: Can I use different units?
A: The calculator uses meters, but you can use any consistent unit (feet, cm, etc.) as long as all lengths use the same unit.

Q4: What if I enter all three sides?
A: The calculator will verify if the sides form a valid right triangle and calculate the angles.

Q5: How are angles calculated?
A: Angles are calculated using inverse trigonometric functions (arctan, arcsin, arccos).