MATH
Angles & trigonometry calculators
Evaluate sine, cosine, tangent, their acute-angle reciprocals or double-angle identities from bounded degrees, evaluate real hyperbolic functions, or recover a principal angle from a supplied ratio. Choose the forward or inverse function matching your inputs.
Choose the right tool
Inverse sine returns −90° to 90°, inverse cosine 0° to 180°, and inverse tangent −90° to 90°. Tangent avoids its singularities using the displayed bounds; these tools do not return every periodic solution or accept radians. Clock angle assumes a continuous ideal twelve-hour clock. Coterminal angles use the principal interval from zero inclusive to 360 exclusive; reference angles return the acute-axis distance. Positive-Z polar angle measures direction from that axis and is distinct from the azimuth.
25 tools
- Arccos Calculator (Inverse Cosine)
arccos (inverse cosine). Example: Dimensionless input: 0.5 number gives 60 degrees. Principal branch only: arcsin −90..90°, arccos 0..180°, arctan −90..90°. No complete periodic solution set. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
- Arcsin Calculator (Inverse Sine)
arcsin (inverse sine). Example: Dimensionless input: 0.5 number gives 30 degrees. Principal branch only: arcsin −90..90°, arccos 0..180°, arctan −90..90°. No complete periodic solution set. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
- Arctan Calculator (Inverse Tangent)
arctan (inverse tangent). Example: Dimensionless input: 0.5 number gives 26.5650511771 degrees. Principal branch only: arcsin −90..90°, arccos 0..180°, arctan −90..90°. No complete periodic solution set. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
- Circumcenter y for Triangle (0,0),(b,0),(u,v) Calculator
Circumcenter y for Triangle (0,0),(b,0),(u,v). Example: Base: 6 m, U: 3 m, V: 4 m gives 0.875 m. Triangle placed on positive horizontal baseline and positive altitude; selected y output, x shown. Original useful product scope; historical catalog title does not grant missing modes or source parity.
- Cosecant of an Acute Angle Calculator
Cosecant of an Acute Angle. Example: Angle in degrees: 30 degrees gives 2 number. Only acute 1..89 degree input; no singularities, unrestricted periodic angles or complex values. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Cosh Calculator
Cosh. Example: Value: 1 number gives 1.54308063482 number. Dimensionless real input bounded to -10..10; these are hyperbolic functions, not angular trigonometric functions. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Cosine Calculator
cosine. Example: Angle in degrees: 30 degrees gives 0.866025403784 number. Angles supplied in degrees; tangent restricted to −80..80 to avoid poles. Sine/cosine accept −360..360. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
- Cosine of Twice an Angle Calculator
Cosine of Twice an Angle. Example: Angle in degrees: 30 degrees gives 0.5 number. Dimensionless trig result; supplied angle in degrees; no equation solving. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Cotangent of an Acute Angle Calculator
Cotangent of an Acute Angle. Example: Angle in degrees: 30 degrees gives 1.73205080757 number. Only acute 1..89 degree input; no singularities, unrestricted periodic angles or complex values. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Orthocenter y for Triangle (0,0),(b,0),(u,v) Calculator
Orthocenter y for Triangle (0,0),(b,0),(u,v). Example: Base: 6 m, U: 3 m, V: 4 m gives 2.25 m. Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity.
- Principal Coterminal Angle in [0,360) Calculator
Principal Coterminal Angle in [0,360). Example: Angle: -450 degrees gives 270 degrees. Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity. Version2 precision contract: Half-open representable [0,360) result. A negative tiny angle whose360-minus-magnitude rounds to360 is repr
- Reference Angle from Real Degrees Calculator
Reference Angle from Real Degrees. Example: Angle: 225 degrees gives 45 degrees. Real bounded inputs with supplied units; numerical selected result only. Original useful product scope; historical catalog title does not grant missing modes or source parity. Version2 precision contract: Symmetric magnitude folding preserves representable tiny reference angles and nonnegative [0,90] range; axis seam
- Right Triangle Acute Angle from Opposite and Adjacent Legs Calculator
Right Triangle Acute Angle from Opposite and Adjacent Legs. Example: Opposite: 3 m, Adjacent: 4 m gives 36.8698976458 degrees. Right triangle only; positive perpendicular legs in meters; returns angle adjacent to supplied adjacent leg. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Right Triangle Tangent Ratio from Legs Calculator
Right Triangle Tangent Ratio from Legs. Example: Opposite: 3 m, Adjacent: 4 m gives 0.75 number. Forward leg ratio only, θ acute; supplied dimensions metres, no inverse side modes. Original useful product scope; historical catalog title does not grant missing modes or source parity.
- Secant of an Acute Angle Calculator
Secant of an Acute Angle. Example: Angle in degrees: 30 degrees gives 1.15470053838 number. Only acute 1..89 degree input; no singularities, unrestricted periodic angles or complex values. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Sine Calculator
sine. Example: Angle in degrees: 30 degrees gives 0.5 number. Angles supplied in degrees; tangent restricted to −80..80 to avoid poles. Sine/cosine accept −360..360. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
- Sine of Half a Positive Angle Calculator
Sine of Half a Positive Angle. Example: Angle: 60 degrees gives 0.5 number. Supplied angle1..179degrees; returns sine of half-angle, no sign ambiguity or unrestricted quadrant inference. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Sine of Sum of Two Angles Calculator
Sine of Sum of Two Angles. Example: A: 30 degrees, B: 30 degrees gives 0.866025403784 number. Sine sum only; other function/difference identities deferred. Original useful product scope; historical catalog title does not grant missing modes or source parity.
- Sine of Twice an Angle Calculator
Sine of Twice an Angle. Example: Angle in degrees: 30 degrees gives 0.866025403784 number. Dimensionless trig result; supplied angle in degrees; no equation solving. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Sine Squared via Power Reduction Calculator
Sine Squared via Power Reduction. Example: Angle: 30 degrees gives 0.25 number. Numerical sin² only; stable sinθ·sinθ AST required to avoid cancellation nearzero. Original useful product scope; historical catalog title does not grant missing modes or source parity.
- Sinh Calculator
Sinh. Example: Value: 1 number gives 1.17520119364 number. Dimensionless real input bounded to -10..10; these are hyperbolic functions, not angular trigonometric functions. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Tangent Calculator
tangent. Example: Angle in degrees: 30 degrees gives 0.57735026919 number. Angles supplied in degrees; tangent restricted to −80..80 to avoid poles. Sine/cosine accept −360..360. Elementary arithmetic over the accepted finite domain. No statistical population inference, supplied-data validity claim or specialist recommendation.
- Tangent of Double Angle, |θ|≤44° Calculator
Tangent of Double Angle, |θ|≤44°. Example: Angle: 20 degrees gives 0.839099631177 number. Tangent identity only, |θ|≤44°; existing sine/cosine double-angle tools linked separately. Original useful product scope; historical catalog title does not grant missing modes or source parity.
- Tanh Calculator
Tanh. Example: Value: 1 number gives 0.761594155956 number. Dimensionless real input bounded to -10..10; these are hyperbolic functions, not angular trigonometric functions. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
- Triangle Side from Known Side and Opposite Angles Calculator
Triangle Side from Known Side and Opposite Angles. Example: Known side: 3 m, Known angle: 30 degrees, Target angle: 45 degrees gives 4.24264068712 m. Each supplied angle is1..89degrees so their sum is below180; no ambiguous SSA solution. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
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