Half Angle Formula
Half angle formulas are used to integrate the rational trigonometric expressions. It can be derived from the double angle identities and can be used to find the half angle identity of sine, cosine, tangent. Enter the angle into the calculator and click the function for which the half angle should be calculated, your answer will be displayed.Calculator
Formula Used:
sin( θ / 2 ) = √ 1 - cosθ / 2 cos( θ / 2 ) = √ 1 + cosθ / 2 tan( θ / 2 ) = 1 - cosθ / sinθExample:
For a 50 Degree angle, the half angle identity of trigonometric function for sin, cos and tan values is
sin θ/2 = √1 - cosθ / 2
= √1 - cos(50) / 2
= √1 - 0.64278760968 / 2
= 0.42262
= 0.42262
cos θ/2 = √1 + cosθ / 2
= √1 + cos(50) / 2
= √1 + 0.64278760968 / 2
= 0.90631
= 0.90631
tan θ/2 = 1 - cosθ / sinθ
= 1 - cos(50) / sin(50)
= 1 - 0.64278760968 / 0.76604444311
= 0.46631
= 0.46631