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To find sine, cosine, and tangent of half angles.
From double angle identities and substitution methods.
sin A = 2t / (1 + t^2) where t = tan(A/2).
cos A = (1 - t^2) / (1 + t^2) where t = tan(A/2).
tan A = 2t / (1 - t^2) where t = tan(A/2).
sin 30 degrees = 1/2 or 0.5
Use half-angle formulas for simplification.
It simplifies complex integrals like sin^2 x.
Use cos(π/4) in the half-angle identity.
1 - cosθ = 2sin²(θ/2).
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