Half-Angle identity (sinfracA2=pmsqrtfrac1-cosA2,cosfracA2=pmsqrtfrac1+cosA2,tanfracA2=fracsi)

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sinfracA2=pmsqrtfrac1-cos A2, cosfracA2=pmsqrtfrac1+cos A2, tanfracA2=fracsin A1

What each symbol means

SymbolWhat it stands for
A, B, x, a, bAs in standard NCERT treatment; domain restrictions apply for tan.

When to use this

Standard NCERT conditions; tan identities exclude odd multiples of π/2 where undefined.