Calculation result
Step-by-step calculation
Unit-circle position
Sine-wave graph
Calculation history
| Time | Entered angle | Degrees | Raw sine | Rounded | Method |
|---|---|---|---|---|---|
| No calculations saved yet. | |||||
Formula used
How to use this calculator
- Select direct input or degree-minute-second input.
- Enter the angle and choose its unit.
- Keep nearest hundredth or select another precision.
- Choose standard rounding or digit truncation.
- Press Calculate sine to view detailed results.
- Copy, print, or export your saved calculations.
Example calculations
| Input | Expression | Unrounded value | Nearest hundredth |
|---|---|---|---|
| 37° | sin(37°) | 0.6018150232 | 0.60 |
| 45° | sin(45°) | 0.7071067812 | 0.71 |
| 5π/6 rad | sin(5π/6) | 0.5000000000 | 0.50 |
| 250 grad | sin(225°) | -0.7071067812 | -0.71 |
| -30° | sin(-30°) | -0.5000000000 | -0.50 |
Common exact sine values
| Angle | Radians | Exact sine | Nearest hundredth |
|---|---|---|---|
| 0° | 0 | 0 | 0.00 |
| 30° | π/6 | 1/2 | 0.50 |
| 45° | π/4 | √2/2 | 0.71 |
| 60° | π/3 | √3/2 | 0.87 |
| 90° | π/2 | 1 | 1.00 |
| 180° | π | 0 | 0.00 |
| 270° | 3π/2 | -1 | -1.00 |
| 360° | 2π | 0 | 0.00 |
Frequently asked questions
What does nearest hundredth mean?
It means keeping two digits after the decimal point. The third decimal digit decides whether rounding increases. A result like 0.706 becomes 0.71 after rounding.
Can I enter radians containing pi?
Yes, the expression box accepts pi or the π symbol. Examples include pi/6, 3*pi/4, and 2π. Only safe arithmetic characters are accepted by the calculator.
Does the calculator support negative angles?
Yes, negative angles are calculated normally. You may also normalise them into a positive coterminal angle. The sine sign remains mathematically consistent in both forms.
Why can a sine value be negative?
Sine is the vertical coordinate on the unit circle. It becomes negative in the third and fourth quadrants. The visual diagram highlights the current angle and position.
What is the difference between rounding and truncating?
Rounding checks the next digit before changing the answer. Truncating simply removes digits beyond your chosen precision. Both methods are available for comparison in this calculator.
Can I use degrees, radians, and gradians?
Yes, all three angle units are supported. Degree-minute-second input is also available for measured angles. Converted values appear together inside the detailed results panel.
Why does the calculator remove negative zero?
Floating-point calculations sometimes produce a tiny negative number near zero. Displaying that value can create an unhelpful negative zero. The calculator safely presents such results as positive zero.
Are exact sine values shown?
Recognised standard angles display exact radical or fractional forms. Other angles show accurate decimal approximations instead. Exact results can be hidden using the display option.
Can I export my calculations?
Yes, you can copy results or download calculation history. CSV and PDF export controls are included beside printing. History remains locally available until you clear browser storage.