Trigonometry Right Triangle Calculator

Right Triangle Formulas:

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

Angle (θ):

degrees

Adjacent Side:

meters

Opposite Side:

meters

Hypotenuse:

meters

Angle (θ): degrees

Adjacent Side: meters

Opposite Side: meters

Hypotenuse: meters

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

Purpose: It helps students, engineers, and construction professionals quickly solve right triangle problems.

The calculator uses the fundamental trigonometric formulas:

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

Where:

Explanation: Enter any two values (angle + one side, or two sides) and the calculator will compute the remaining values.

Details: Essential for construction, navigation, engineering, and physics problems involving right angles.

Tips:

Q1: What if I know two sides but no angle?
A: The calculator will determine the angle using inverse trigonometric functions.

Q2: How precise are the calculations?
A: Results are accurate to 3 decimal places for lengths and 2 decimal places for angles.

Q3: Can I use different units?
A: The calculator uses meters, but you can convert your units to meters before input.

Q4: What if I enter invalid values?
A: The calculator requires valid combinations (e.g., hypotenuse must be longest side).

Q5: Does this work for non-right triangles?
A: No, this calculator is specifically for right triangles (90° angles).