Half Angle Calculator

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The full angle theta. The calculator finds all trig values for the half angle theta/2.
deg
sin(theta/2)
0.258819

Sine of the half angle

cos(theta/2)0.965926
tan(theta/2)0.267949
csc(theta/2)3.863703
sec(theta/2)1.035276
cot(theta/2)3.732051
Half angle (theta/2)15
Quadrant of theta/2Q1 (15.0000 deg)
sin(theta/2)0.258819
cos(theta/2)0.965926
tan(theta/2)0.267949

Half-angle results for theta = 30 deg

  • The half angle theta/2 = 15.00 deg, which sits in quadrant 1.
  • sin(theta/2) = 0.258819, cos(theta/2) = 0.965926, tan(theta/2) = 0.267949.
  • The starting cos(30 deg) = 0.866025, which drives all six half-angle results.

Next stepTo verify, compute the trig functions directly at theta/2 on any scientific calculator and compare.

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