Trigonometry

This function block performs common trigonometric operations using degrees and simple ratios. It is ideal for converting angles to ratio values (sine/tangent) or converting ratios back to angles (inverse sine/arc-tangent) for measurement and geometry tasks.

📥 Inputs

Number Provide a numeric value. For direct functions (Sin, Tan) give an angle in degrees. For inverse functions (Asin, Atan) give a ratio value (range depends on the function).

📤 Outputs

Number The numeric result of the selected trigonometric operation. Output for inverse operations is in degrees.

🕹️ Controls

Method Choose the trigonometric operation to apply. Available choices typically include Sin, Asin, Tan, and Atan.

🎨 Features

• Easy selection between direct and inverse trigonometric functions via a simple dropdown.

• Accepts a single numeric input and returns a single numeric output.

• Uses degrees for angle inputs and outputs to remain intuitive for non-technical users.

⚙️ Running mechanism

When the block runs it applies the selected operation to the value you provide:

• For Sin and Tan: the block treats the input as degrees, converts internally to the correct internal representation, and returns the resulting ratio value.

• For Asin and Atan: the block treats the input as a ratio and returns the corresponding angle in degrees.

This allows you to switch between converting an angle into a ratio (useful for projecting lengths or computing components) and converting measured ratios back into angles for reporting or control logic.

📝 Usage instructions

1. Feed a numeric value into the Number input.

2. Select the desired operation via the Method control.

3. Read the result from the Number output.

• For angle-to-ratio conversions use Sin or Tan.

• For ratio-to-angle conversions use Asin or Atan.

💡 Tips and Tricks

• Use Measure Position Distance to get X and Y distances between two points, then use Divide to produce a ratio and Atan to compute the angle between them.

• To compute a hypotenuse from side lengths, combine Square Root and Add (after squaring components with Multiply) and then use Asin or Atan as needed to get angles.

• Pair with Round to present human-friendly angle values (e.g., round to 1 or 2 decimals).

• Use Absolute before inverse functions when you only care about the magnitude of a ratio.

• Combine with Line Geometry when working with drawn lines: use this block to convert between measured ratios and angles for annotations or downstream logic.

🛠️ Troubleshooting

• If results look unexpectedly large or small, check whether you should provide an angle (degrees) or a ratio to the Number input depending on the selected Method.

• For inverse functions ensure input ratios are within valid ranges (e.g., values outside the valid domain for Asin will not produce meaningful angles).