Trigonometric Calculator
Calculate trigonometric functions (sine, cosine, tangent, etc.) and their inverses in degrees or radians.
Trigonometric Function
Input Value
Calculator guide
Trigonometric Calculator
Evaluate common trigonometric functions and inverse functions using an angle or ratio. The tool supports sine, cosine, tangent, cosecant, secant, cotangent, arcsine, arccosine, and arctangent, with degree or radian options.
How to use the calculator
- 1Choose a function and select degrees or radians as the relevant input or output unit.
- 2For a direct function, enter an angle; for an inverse sine or cosine, enter a ratio in the allowed range.
- 3Calculate and check the displayed units. Undefined values, such as tangent at 90°, may return no result.
Important details to understand
1.Start with the right inputs
Check every number, date, unit, and selected mode before calculating. A correct formula can still give a misleading answer when an input is missing, entered in the wrong unit, or based on a different time period.
2.Know what the calculation includes
The method below describes what this tool uses. Real situations can involve extra rules, costs, calendar conventions, or personal details that are not part of the form, so compare the assumptions with your actual question.
3.Read the unit and rounding
Look at the label as well as the displayed number. Rounding can change the last digits, and results in different units or time periods are not directly comparable until you convert them consistently.
4.Treat the result as a useful check
Use the output to understand a calculation, explore a scenario, or make an initial estimate. When a result affects a formal deadline, a health decision, a contract, or a large payment, confirm it with the relevant source or qualified professional.
How the calculation works
Direct functions use the selected angle converted to radians for JavaScript's Math functions. Reciprocal functions are csc = 1/sin, sec = 1/cos, and cot = 1/tan. Inverse sine and cosine accept values from −1 to 1, while inverse tangent accepts any real value. Inverse results are converted to the selected output unit.
A worked example
For a 30° angle, sine is 0.5. The same angle in radians is π/6, and both inputs describe the same angle.
When this calculator is useful
Check geometry, physics, and classroom calculations or translate between angles and ratios.
Planning ahead
Try a few realistic input values to see how a change in an amount, measurement, date, or rate affects the answer.
Learning the method
Follow the explanation and example to understand which inputs matter and how they are combined.
Checking your own work
Compare the result with a hand calculation, a worksheet, or a trusted source when you need an independent sense check.
Explaining a result
Keep the original inputs and units with the output so another person can understand what was calculated.
Tips for a more reliable answer
- Enter the values from the same source and keep units consistent throughout the calculation.
- Check that you selected the mode or option that matches the question you are trying to answer.
- Use the worked example to confirm you understand the inputs and the kind of result the tool returns.
- Save the inputs with the result so you can review or repeat the calculation later.
Limitations and assumptions
The result is rounded for display and is not a symbolic algebra system. Functions can be undefined at particular angles; floating-point rounding also affects values near singularities. Confirm whether your application expects radians or degrees.
Every result depends on the information entered and the method described above. The calculator cannot confirm that the inputs are complete or that its assumptions match a particular provider, policy, location, body, or real-world situation.
Frequently asked questions
Why do I get no result for tangent of 90 degrees?
Tangent is undefined there because cosine is zero.
What range is allowed for arcsin and arccos?
Their real-valued input ratio must be between −1 and 1.
Does JavaScript use degrees?
No. The tool converts degree input to radians before evaluating built-in trigonometric functions.
Why might my result differ from another calculator?
Tools can use different assumptions, units, date conventions, included costs, or rounding rules. Compare the inputs and method descriptions before deciding that one result is wrong.
What should I check if the answer looks wrong?
Review the selected mode, each entered value, the units, and any optional fields. Then compare a simple example with the method described in this guide.
Can I rely on the result for an official or high-impact decision?
Use the result as an estimate or explanation and check the limitations listed for this tool. Confirm important decisions with the relevant official source or a qualified professional.