Tangent Calculator

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Forward: enter an angle to get tan(theta). Inverse: enter the tangent value to recover the angle via arctan.
The angle theta whose tangent you want. Negative angles are allowed.
Degrees: full turn = 360. Radians: full turn = 2pi. Gradians: full turn = 400. Milliradians: full turn = 2000pi (mrad).
Also compute sin, cos, cot, sec, and csc for the same angle alongside tan.
tan(theta)Defined
1
QuadrantI (sin+, cos+, tan+)
Angle in radians0.785398 rad

tan(45°) = 1.

  • The angle is in quadrant I (sin+, cos+, tan+), which determines the signs of all six trig values.
  • Tangent is the sine divided by the cosine. On the unit circle it equals the y-coordinate over the x-coordinate at the angle.
  • Tangent repeats every 180° (pi radians), so tan(theta) = tan(theta + 180°). It is also an odd function: tan(-theta) = -tan(theta).
  • A positive tangent means the angle is in quadrant I (0°-90°) or quadrant III (180°-270°).

Next stepApply arctan to this value to recover the principal angle, or use the "tan(theta) to angle" mode above.

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