Identidades de Suma y Resta

Referencia > Álgebra: Identidades Trigonométricas

Descripción

sin⁡(x+y)=sin⁡xcos⁡y+cos⁡xsin⁡y\sin{(x+y)}=\sin{x}\cos{y}+\cos{x}\sin{y}

sin⁡(x−y)=sin⁡xcos⁡y−cos⁡xsin⁡y\sin{(x-y)}=\sin{x}\cos{y}-\cos{x}\sin{y}

cos⁡(x+y)=cos⁡xcos⁡y−sin⁡xsin⁡y\cos{(x+y)}=\cos{x}\cos{y}-\sin{x}\sin{y}

cos⁡(x−y)=cos⁡xcos⁡y+sin⁡xsin⁡y\cos{(x-y)}=\cos{x}\cos{y}+\sin{x}\sin{y}

tan⁡(x+y)=tan⁡x+tan⁡y1−tan⁡xtan⁡y\tan{(x+y)}=\frac{\tan{x}+\tan{y}}{1-\tan{x}\tan{y}}

tan⁡(x−y)=tan⁡x−tan⁡y1+tan⁡xtan⁡y\tan{(x-y)}=\frac{\tan{x}-\tan{y}}{1+\tan{x}\tan{y}}


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