Half Angle Identity Calculator
To find the value of half-angle, enter the value of the original angle in radians or degrees in the half-angle identity calculator
Half Angle Identities
Half angle identity calculator
This half Trig identities solver is used to find the sine, cosine, or tangent of half a given angle based on the trigonometry identity formula.
What is a half-angle?
Half angle means the value of trigonometric angle divided by 2. These angles are computed through special formulas. Representations for these angles are
Like double angles, half-angles are used for simplification purposes.
The half-angle formulas are different for every trigonometric identity.
For sine, the formula used is:
Sin (y/2)= √1 - Cosy/2
Cos (y/2)= √1 + Cosy/2
And lastly, for tan is,
Tan (y/2)= √1 - Cosy/1 + Cosy
How to find a half-angle?
To learn how to find a half-angle, look at this example.
Find the half-angle of tan 30°.
Step 1: Write the formula of tan(y/2).
Tan (y/2)= 1 - Cosy/1 + Cosy
Step 2: Put the value in the formula.
Tan (y;2)= √1 - Cos(30) / 1 + Cos(30)
Tan (y/2)= √1 - 0.85 / 1 + 0.85
Tan (y/2) = 0.2679