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Sine Calculator

Find sin(θ) for any angle in degrees or radians, with the exact value at multiples of 15° and the other five functions.

Change the values and press Calculate to work out your own figures.

Enter an angle and choose degrees or radians.

About angle θIn the unit chosen below.
About angles inDegrees or radians.
Result
sin(30°)
0.5
Exact
1/2
cos(θ)
0.8660254038
tan(θ)
0.5773502692
csc(θ)
2
sec(θ)
1.154700538
cot(θ)
1.732050808

The sine of 30° is 0.5 (1/2).

Show the working
  1. θ = 30° = 0.5235987756 rad = π/6
  2. sin θ
  3. = 0.5

How to use it

Enter an angle and choose degrees or radians.

Enter the values you know (decimals, fractions, surds such as 2√5, or angles such as π/3 in radians). Show the working gives the rule used at each step.

Key facts

sin θ = opposite ÷ hypotenuse

Exact values

At multiples of 15° the functions have exact values built from √2, √3 and √6, which the calculator shows alongside the decimal.

Questions

What is sin(60°)?

√3/2 ≈ 0.8660254038.

Degrees or radians?

Choose the unit under the angle; radians can be typed with π, such as π/3.

Formulas

sin θ = opposite ÷ hypotenuse

Sources

Limitations

  • Angles can be typed in degrees or radians; radians may be written with π (π/3, 2pi/3).

Formula version 0.1.0Reviewed