How this calculation works
Find every angle in a single full turn that has the given sine.
THE FORMULA
Use arcsin and its supplementary angle, reduced to [0°,360°)A worked example
A sine of 1/2 occurs at 30° and 150°.
Good to know
The interval includes 0° and excludes 360°.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Find every angle in a single full turn that has the given sine.
The primary result is labeled “Solutions”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The interval includes 0° and excludes 360°.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
A sine of 1/2 occurs at 30° and 150°.
Which rule does this calculator apply?
Use arcsin and its supplementary angle, reduced to [0°,360°)