DMS to Decimal Degrees Converter
DMS to Decimal Degrees Converter
Angles are sometimes written in degrees-minutes-seconds (DMS) instead of decimal degrees — common in navigation, surveying, and astronomy, where a minute is 1/60 of a degree and a second is 1/60 of a minute. Enter either form below and the other is calculated instantly.
Degrees, Minutes, Seconds
Decimal Degrees
Type into either form — the other updates automatically.
Advertisement
Why DMS?
Degrees-minutes-seconds notation is still common in navigation, surveying, astronomy, and GPS coordinates — a minute is 1/60 of a degree, and a second is 1/60 of a minute, mirroring how hours, minutes, and seconds divide a clock.
Advertisement
Understanding the Main Trigonometric Functions
The trigonometric functions — also called circular or goniometric functions — are functions of an angle that relate the angles of a right triangle to the lengths of its sides. They're central to the study of triangles and to modeling periodic phenomena (waves, oscillations, rotation), among many other applications in physics, engineering and geometry.
Every value below is computed from a triangle inscribed in the unit circle — sine and cosine are the vertical and horizontal legs of that triangle, and the other four functions (tangent, secant, cosecant, cotangent) are ratios built from them. Drag the point around the circle to see how each ratio changes with the angle. A handful of angles (0°, 90°, 180°, 270°, 360°) make one of those ratios divide by zero — those are undefined rather than a nonsensical number.
Other Trigonometric Calculators
Advertisement