The unit circle connects an angle with its sine, cosine and tangent.
Unit Circle Calculator
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Table of Contents
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What is Unit Circle?
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How to Use This Calculator
- Enter or select Angle.
- Check the unit beside each measurement. For a percentage or rate, use the scale and time period stated in the form.
- Choose Calculate, then compare the output with the formula and example below. If you change a value or option, calculate again to update the result.
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Formula Used
Point at angle θ = (cosθ, sinθ); tanθ = sinθ/cosθ
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Variables Explained
| Input | What it means |
|---|---|
| Angle | The angle for the selected function, in degrees or radians as stated beside the input. |
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Worked Example
At 60°, the point is (0.5, √3/2) and tangent is √3.
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Why Use This Calculator?
Read sine and cosine as coordinates rather than memorizing isolated values.
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Common Mistakes
- Check degree versus radian mode. Tangent is undefined when cosine equals zero.
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Frequently Asked Questions
Should I round numbers before calculating?
Keep the original input precision through the calculation and round the final answer to the precision you need. Rounding an intermediate result can change later steps.
Why can a manual calculation differ slightly?
Check the operation, units, signs and rounding first. Equivalent fractions or expressions can look different while representing the same value.
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Sources & References
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