Sin 2 Theta Calculator - Double Angle Formula

Your details

Choose how you want to supply the angle information.
Switch between degrees and radians.
The angle theta in the chosen unit.
°
sin(2θ)Large positive (>= √3/2)
0.866025

Sine of the double angle, range -1 to 1

cos(2θ)0.5
tan(2θ)1.732051
2θ in degrees60°
2θ in radians1.047198rad
sin(θ) used0.5
cos(θ) used0.866025
0.866025
Strongly negative<-0.5Negative-0.5-0Positive0-0.5Strongly positive0.5+

sin(2θ) = 0.866025

  • sin(2θ) = 0.866025, which is within the range (-1, 1).
  • cos(2θ) = 0.500000. Together, sin(2θ) and cos(2θ) locate the point on the unit circle at angle 2θ.
  • The doubled angle 2θ = 60.00°, which falls in the first quadrant (both sin and cos positive).

Next stepThe double angle identity is widely used to simplify trigonometric expressions in calculus, signal processing, and geometry. Try varying θ to see how sin(2θ) traces a full sine wave with half the period of the original.

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