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Trigonometry calculator: sine, cosine, tangent and reciprocals

Calculate all six trigonometric ratios of an angle: the direct ones (sine, cosine and tangent) and the reciprocals (cosecant, secant and cotangent). Enter the angle in degrees or radians.

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Direct functions

Sine

0.5

Cosine

0.8660254038

Tangent

0.5773502692

Reciprocal functions

Cosecant

2

Secant

1.154700538

Cotangent

1.732050808

Computes the sine and cosine of the angle and derives the rest from them:

  • tan = sin ÷ cos
  • csc = 1 ÷ sin
  • sec = 1 ÷ cos
  • cot = cos ÷ sin

Use cases

  • Solving triangles in geometry or physics exercises.
  • Splitting a force or velocity into its components.
  • Checking trigonometry worked out by hand.

How it works

  1. 1

    Type the angle

    Decimals, negatives and angles over a full turn are accepted.

  2. 2

    Pick degrees or radians

    Degrees by default; switch to radians if your angle is in rad.

Technical details

  • When the denominator is 0 the function is undefined and shows "-": tan 90°, sec 90°, csc 0°, cot 0°, csc 180°…
  • Floating-point values within 10⁻¹² of 0 are treated as exactly 0, so sin 180° gives 0 rather than 1.2 × 10⁻¹⁶.
  • Cosecant, secant and cotangent are the reciprocal functions (1 ÷ the direct one). They're not the inverse functions (arcsine, arccosine, arctangent), which go the other way: from a value back to an angle.
  • Result with up to 10 significant digits.

Frequently asked questions

What is sin 30°?

Exactly 0.5. Cos 60° is also 0.5, and tan 45° is 1.

Is cosecant the same as arcsine?

No. Cosecant is 1 ÷ sine (csc 30° = 2). Arcsine is the inverse function: it returns the angle whose sine is a given value (arcsin 0.5 = 30°).

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