Right Triangle Calculator Trigonometry

Right Triangle Formulas:

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

Angle (θ):

degrees

Opposite Side:

meters

Adjacent Side:

meters

Hypotenuse:

meters

Calculated Opposite Side:

Calculated Adjacent Side:

Calculated Hypotenuse:

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

Purpose: It helps students, engineers, and professionals quickly calculate triangle dimensions without manual computation.

The calculator uses the fundamental trigonometric ratios:

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

Where:

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

Details: Right triangle trigonometry is fundamental in construction, navigation, physics, engineering, and many other fields.

Tips:

Q1: What if I know two sides but no angle?
A: Use the inverse trigonometric functions (arcsin, arccos, arctan) to find the angle.

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

Q3: Can I use different units besides meters?
A: Yes, as long as you're consistent - all side lengths must use the same unit.

Q4: What if I get an error message?
A: This means the values you entered are inconsistent with right triangle geometry.

Q5: Does this work for non-right triangles?
A: No, for other triangles you need the Law of Sines or Law of Cosines.