Trigonometry Calculator

The Trigonometry Calculator allows users to input angles and side lengths of a right triangle to compute trigonometric functions, missing side lengths, and angles, all with customizable decimal precision.

Use Our Trigonometry Calculator

Using the Trigonometry Calculator

Step 1: Inputting the Angle

Begin by entering the angle in degrees into the Angle (degrees) field. This is a required field and must be within the range of -360 to 360 degrees. You can specify the angle to a precision of one decimal place using increments of 0.1.

Step 2: Entering Side Lengths

Next, fill out any of the triangle side lengths if you have that information. These fields are optional, but they help in further calculations:

  • Hypotenuse Length: Enter the hypotenuse length, if known, in this optional field with a minimum value of 0 and steps of 0.01.
  • Adjacent Side Length: Enter the adjacent side length, if applicable, with a minimum value of 0 and steps of 0.01.
  • Opposite Side Length: Provide the opposite side length, if available, also with a minimum value of 0 and steps of 0.01.

Step 3: Understanding the Result Fields

Upon entering the necessary values, the calculator will compute various trigonometric functions and related measures. These include:

  • Sine (sin): Calculated as sin(angle * π / 180) and displayed to four decimal places.
  • Cosine (cos): Calculated as cos(angle * π / 180) with four decimal points precision.
  • Tangent (tan): Derived from tan(angle * π / 180), also shown to four decimals.
  • Cotangent (cot): Obtained by 1 / tan(angle * π / 180) and rounded to four decimals.
  • Secant (sec): Given by the formula 1 / cos(angle * π / 180), shown to four decimals.
  • Cosecant (csc): Calculated as 1 / sin(angle * π / 180) and displayed to four decimals.
  • Calculated Hypotenuse: If side lengths are provided, calculated as √(adjacent² + opposite²) and displayed to two decimals.
  • Calculated Adjacent: If hypotenuse is provided, calculated as hypotenuse * cos(angle * π / 180) with two decimal precision.
  • Calculated Opposite: Determined using hypotenuse * sin(angle * π / 180), presented to two decimals.
  • Calculated Angle (degrees): Using ASIN(opposite / hypotenuse) * 180 / π, the angle is computed when applicable and displayed with a one-decimal precision, followed by a degree symbol (°).

Step 4: Analyzing Results

Review the output values for understanding various trigonometric properties of your triangle or angle input. Make adjustments to the input data as needed to explore different scenarios or verify calculations.