# 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. ## đŸ“Ĩ 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. ## 🕹ī¸ 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. ## ⚙ī¸ 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. ## 🛠ī¸ 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). --- # Agent Instructions: Querying This Documentation If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question. Perform an HTTP GET request on the current page URL with the `ask` query parameter: ``` GET https://docs.augelab.com/function-blocks/data-logic/mathmetical-operations/trigonometry.md?ask= ``` The question should be specific, self-contained, and written in natural language. The response will contain a direct answer to the question and relevant excerpts and sources from the documentation. Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.