Trig Calculator

The angle for a forward function (sin, cos, tan, …), read in the selected angle unit.
Unit of the input angle for forward functions, and of the answer for inverse functions.
The ratio to invert for an inverse function (and the y argument of atan2).
Result
0.5000000000
Trigonometry Function Calculator
Result unit
ratio
Angle
30.0000000000 deg
Angle
0.5235987756 rad
Angle
33.3333333333 grad
sin θ
0.5000000000
cos θ
0.8660254038
tan θ
0.5773502692
csc θ
2.0000000000
sec θ
1.1547005384
cot θ
1.7320508076
Quadrant
I
Reference angle
30.00000000 deg
Coterminal angle in [0°, 360°)
30.00000000 deg
Exact value
sin 30° = 1/2, cos 30° = √3/2
Expression
sin(30°) = 0.5
Worked out from NIST Digital Library of Mathematical Functions, Chapter 4: Elementary Functions (trigonometric and inverse trigonometric) and 2 other sources.

How this is worked out

3 steps
  1. θ = 30 deg = 0.5235987756 rad (× π/180 for degrees)
  2. sin(30°) = 0.5
  3. Coterminal angle in [0°, 360°) = 30°, quadrant I, reference angle 30°

Results are general information, not financial, tax, legal, medical or engineering advice.